5^-x = 6
Help ASAP
STEPS MUST.​

Answers

Answer 1

We have to Find:

The value of x

[tex] \sf \longmapsto5^{ - x }= 6[/tex]

Let's start.

Take Logarithm of both sides

[tex] \sf \longmapsto log(5^{-x}) = log(6) [/tex]

Solving Further

[tex] \sf \longmapsto - x \: log(5) = log(6)[/tex]

[tex] \sf \longmapsto - x = \dfrac{ log(6) }{ log(5) } [/tex]

Take the minus from (-x) and put in on log(6)

[tex] \sf \longmapsto \: x = \dfrac{ -log(6) }{ + log(5)} [/tex]

Done


Related Questions

Which of the following is not one of Garner’s Theory of Multiple Intelligences?

Question 4 options:

Linguistic intelligence


Interpersonal intelligence


Muscular intelligence



Answers

Answer:

I would say muscular

Step-by-step explanation:

none of these are really wrong, but muscular intelligence should be bodily intelligence

7/8 * 1/2 =7/16 yes but wouldn't you have to divide it though like divide 16 / 7 = 3 3/7???

Answers

Think about it like this.
1/2 is a simplified version of 4/8.
So then putting it back into the original equation:
7/8 * 4/8 = 7/16 or 0.4375
The final answer would be 7/16 because there isn’t another way to simplify that.
I hope that makes sense, let me know if you have any questions.

Answer:

No.

Step-by-step explanation:

I think you're talking about simplifying/reducing the fraction.

You would not do that in this case because the numbers 7 and 16 have no common factors besides 1.

The answer is already in its lowest/reduced form. You do not divide.

Please let me know if this was not what you were talking about!

What is the value of point P?

Answers

Answer:

-8

Step-by-step explanation:

Because it moved 2 to the right.

Answer:

-8

Hope this helps :)

Simplify.

81‾‾‾√

18

9

−3

−18

Answers

9514 1404 393

Answer:

  (b)  9

Step-by-step explanation:

Maybe you want to simplify ...

  [tex]\sqrt{81}=\sqrt{9^2} =\boxed{9}[/tex]

What Value is equivalent to 30-6 x 3

Answers

Answer:

5/1

Step-by-step explanation: I could be wrong though

Have a Good Day <3

5/1 this should be right

© Write
[tex] \sqrt{8} [/tex]
power of 2​

Answers

Answer:

Step-by-step explanation:

2×2×2=8

so √8 = 2³

Hope this helps you

What is a circle define and illustrate The following in figures

Answers

Answer:

Circle is a closed geometric figure having an infinite number of sides.

Step-by-step explanation:

A circle ⭕ has infinite number of sides want to know how then try and experiment.

First draw a pentagon of five sides, then a hexagon of six sides and keep on increasing the number of sides and then you will notice the shape being close of a circle.


Which distance formula or formulas show(s) a joint variation?

Answers

Answer:

II and III only

Step-by-step explanation:

One variable quantity is said to vary jointly as a number of other variable quantities, when it varies directly as their product.

What is 0.14 as a fraction

Answers

Answer:

7/50

Step-by-step explanation:

Here is an easy way of converting a decimal number to fraction.

Step 1:

Write it down as 0.14/1

Step 2:

Multiply bottom and top by 10 for every number after the decimal, since there is 2 numbers after the decimal you do 10*10 = 100

[tex]\frac{0.14(100)}{1(100)}[/tex] = 14/100

Step 3:

You can simplify 14/100 to 7/50 and thats why 7/50 is the answer

Answer:

[tex]\frac{14}{100}[/tex] or [tex]\frac{7}{50}[/tex]

Step-by-step explanation:

To find 0.14 we have to see what place it's in, since it was in the hundredths place, we put 14 over 100, which is 14/100.

To simplify this fraction we have to find the GCM (Greatest Common Factor), the GCM of 14 and 100 is 2. Then we divide both the bottom and the top by 2 (whatever you do to the bottom, you do to the top), which gives us 7/50.

To conclude, 0.14 as a fraction is 14/100 or 7/50.

C is wrong help me please

Answers

Answer:

A

Step-by-step explanation:

x from 0 < x < 2 is wrong because < means goes to but does not equal that value, and [tex]\leq[/tex] means it INCLUDES that value. Because the function includes it (not an open hole), you should choose A.

Find the lines of symmetry. Select all that apply. Thank you!

Answers

Lines r & t are the lines of symmetry here.

◇ The line r cuts the figure vertically into 2 equal halves.

◇ The line t cuts the figure horizontally into 2 equal halves.

◇ The lines q & s don't cut the figure symmetrically (2 unequal parts are formed), so they are not the lines of symmetry.

See the attachments too.

______

Hope it helps ⚜

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

(27×3^-2)(8×2^-3)

Answers

Answer:

(27×3^-2)(8×2^-3) = 3

Step-by-step explanation:

(27×3^-2)(8×2^-3) = 3 or 3/1


First, we do PEMDAS (Please Excuse My Dear Aunt Sally)

↳ (27×3^-2)

↳ 27×1/9=3


Second, do the other one in parentheses because of PEMDAS

↳ (8×2^-3)
↳ 8×1/8=1


—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

For questions 3 - 6, find F'(x), the inverse of F(x).

3. F(x) = x-10

4. F (x) = x/6 + 3

5. F(x) = 3x + 7

6. F(x) = 8x

Answers

Answer:

3)  f'(x) = x + 10

4)  f'(x) = 6x - 18

5)  [tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex] or  [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex]

6)  f'(x) = ⅛x  or  [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex]  

Step-by-step explanation:

3. f(x) = x - 10

Step 1: In order to find the inverse function of f(x) = x - 10, start by replacing f(x) with y.  

y = x - 10

Step 2:  Switch x and y:

x = y - 10

Step 3: Add 10 to both sides to isolate y:

x + 10 = y - 10 + 10

x + 10 = y

Step 4: Replace y with f'(x):

f'(x) = x + 10  ⇒ This is the inverse function of f(x).

4.  [tex]\displaystyle\mathsf{f(x)=\:\frac{x}{6}\:+\:3}[/tex]

Replace f(x) with y:

[tex]\displaystyle\mathsf{y=\:\frac{x}{6}\:+\:3}[/tex]

Switch x and y:

[tex]\displaystyle\mathsf{x=\:\frac{y}{6}\:+\:3}[/tex]

Subtract 3 from both sides:

[tex]\displaystyle\mathsf{x-3=\:\frac{y}{6}\:+\:3-3}[/tex][tex]\displaystyle\mathsf{x-3=\:\frac{y}{6}}[/tex]

Multiply both sides by 6 to isolate y:

[tex]\displaystyle\mathsf{6(x-3)=\:\frac{y}{6}(6)}[/tex]

6x - 18 = y

Replace y with f'(x):

f'(x) = 6x - 18  ⇒ This is the inverse function of f(x).

5. f(x) = 3x + 7

Replace f(x) with y:

y = 3x + 7

Switch x and y:

x = 3y + 7

Subtract 7 from both sides:

x - 7 = 3y + 7 - 7

x - 7 = 3y

Multiply both sides by :

⅓(x - 7) = 3y (⅓)

[tex]\displaystyle\mathsf{\frac{1}{3}x-\frac{7}{3}=y}[/tex]

Replace y with f'(x):

[tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex]  or  [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex]   ⇒ This is the inverse function of f(x).

6. f(x) = 8x

Replace f(x) with y:

y = 8x

Switch x and y:

x = 8y

Multiply both sides by :

⅛(x) = ⅛(8y)

⅛x = y or  [tex]\displaystyle\mathsf{\frac{x}{8}=y}[/tex]  

Replace y with f'(x):

f'(x) = ⅛x  or [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex]   ⇒ This is the inverse function of f(x).

what is mixed number


help me pleas​

Answers

Answer:

A mixed number is a number with both a whole number and a fraction. For example 6 3/4, 2 1/2, 7 8/15. Hope this helped:)

Answer:

A mixed number is a number consisting of a whole number and a proper fraction.

Below are examples of mixed numbers:

[tex]4 \frac{1}{2}[/tex]

[tex]1 \frac{3}{5} [/tex]

all graphs range from -10 through 10 ;)​

Answers

Answer:B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First, we want to find out what is X.

               3x = -6 --->  x = -2

X is -2 so we want the graph point to start at -2 and from there go down to -10.

If the equation of the line is f(x) = 1/3x - 5 , what would be the new equation if there was a reflection over the y- axis, a dilation of -6, and a translation of 4 units up?

pls help I already solved but I'm not sure if I did a step out of order

Answers

Answer: Thus, after the transformation, the graph consists of points (x,y) satisfying y=2(x−3)2. This is the equation of the transformed graph.

Step-by-step explanation:

Consider the graph y=x2. Suppose the graph is dilated from the x-axis by a factor of 2, and then translated 3 units to the right. What is the equation of the resulting graph?

Solution

The transformation given is Trans(3,0)∘Dilx-axis,2. Denote by (x′,y′) the image of a point (x,y) under this transformation. A point (x,y) is sent to (x,2y) by the dilation, and then to (x+3,2y) by the translation, so (x′,y′)=(x+3,2y).

The original graph consists of points (x,y) such that y=x2. Then it is transformed so that (x,y)↦(x′,y′)=(x+3,2y). We must find what equation is satisfied by x′ and y′.

Since x′=x+3 and y′=2y, we have x=x′−3 and y=y′/2. Thus y=x2 implies

y′2=(x′−3)2or equivalentlyy′=2(x′−3)2.

At the store the ratio of books sold to movies sold was 4:5.For every_books sold there were _ movies sold.

Answers

Answer:

At the store the ratio of books sold to movies sold was 4:5.For every 4 books sold there were 5 movies sold.

Step-by-step explanation:

rewrite in slope intercept

a(bx + y) = c

Answers

Y=abx +c ……………..loll

Does each function describe exponential growth or decay?
Drag and drop the equations into the boxes to correctly complete the table.
Growth
Decay
y = 250(1 + 0.004)^t
y = 426(0.98)^t
y = 12,000(1/2) ^t

Answers

9514 1404 393

Answer:

growthdecaydecay

Step-by-step explanation:

An exponential function will describe growth if the base of the (positive) exponent is greater than 1. It will describe decay of the base is less than 1.

y = 250(1 + 0.004)^t . . . . . 1.004 > 1   ⇒   growth

y = 426(0.98)^t . . . . . . . . . 0.98 < 1   ⇒   decay

y = 12,000(1/2) ^t . . . . . . . 1/2 < 1   ⇒   decay

what are the reasons to #3 and #5??

options for both #3 and #5

- CPCTC
- Given
- When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary
- opposite sides of a parallelogram are parallel
- reflexive property
- angles that are supplementary to the same angle are congruent

Answers

Answers:

3) When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary.5) angles that are supplementary to the same angle are congruent.

==============================================================

Explanation:

Basically, statements 3 and 4 are nearly identical. They both use the exact same reasoning. For statement 3, the parallel lines are QT and RS, with QR being the transversal. Refer to the same side interior angles theorem. It's also known as the consecutive interior angles theorem.

-------------

For statement 5, consider the idea that if

Q+R = 180

Q+T = 180

then those two equations lead to T = R. Both angles T and R are supplementary to angle Q, so they must be the same angle. So that's why we go with the "angles that are supplementary to the same angle are congruent" option for this part.

PLEASE HELP WITH THIS QUESTION

Answers

Answer:

Heigh <= 63

Width <= 56

Length <= 61

Step-by-step explanation:

Height: x+7

Width: x

Length: x + 5

(x + 7) + (x) + (x + 5) <= 180 cm^3

3x + 12<= 180

3x <= 180-12

x <= 168/3

x <= 56

Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?

Answers

Answer:

1/2

Step-by-step explanation:

there is a 50 50 chance that somebody is male or female

The equilateral triangle with side 12 has altitude

Answers

Step by step explanation

3. Mr. Morris orders a bottle of lotion that contains (15)liters. He use 2/6 of a liter of
lotion a day. How many days can he use the bottle of lotion until it is empty?



Pls help and show me how to do it

Answers

Answer:

45

Step-by-step explanation:

If he uses 2/6 of a liter thats 3 days for 1 liter.

3 x 15 is 45. so 45 days

(x+5)(x-5) factoring

Answers

Answer: x² - 25

Step-by-step explanation:

Do you mean expanding, if so

The answer will be x^2-25+5x-5x

So that factorised is x squared -25

Find the y intercept of the line -5x-2y=-14

Answers

Answer:

the y intercept is7

Step-by-step explanation:

at y-axis x=0, y=7

HURRY!! (No links please and please include an explanation)

If A is the set of all whole numbers, choose the set B that will make the following
statement false.
B ⊆ A

B = {0, 2, 4, 6)

B = {0}

B = {-1, 0, 1)

B = {1, 2, 3, 4)

Answers

Answer:

B= (-1,0,1)

Step-by-step explanation:

because -1 is not a whole number.

Answer:

B = {-1, 0, 1)

Step-by-step explanation:

The answer is B = {-1, 0, 1) because -1 is not a whole number.

Hope this helps :)

Kyle has two snakes fluffy is 2 meters long muffy is 900 millimeters long compare their lengths to fill in the blanks
_____ is the longest snake.
_____ is ______
millimeters longer than ____


PLSS HELP!!

Answers

Fluffy is longer than Muffy

Step-by-step explanation:

There are 1000 millimeters in a meter

Fluffy = 2000 millimeters

Muffy = 900 millimeters

Fluffy is longer than Muffy

2000 > 900

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me

as brainliest!

f(ə) =
g(x) = (x - 2)2 – 7
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation,
Use nonnegative numbers.
To get the function g, shift f up/down v
by
units and to the
right/left
by
units.

Answers

Answer: To get function g, shift f DOWN by 7 units and to the RIGHT by 2 units

Step-by-step explanation: g(x)= (x-2)^2-7 since they’re both negatives it should be the opposite. An example would be g(x)=(x+3)^2+5, f goes UP for positive by 5 units, left by 3 units.

Heeeeelllllllppppppp

Answers

1.

[tex]y=\frac{5}{3} x-2[/tex]

2.

[tex]y=-2x+2[/tex]

3.

[tex]y=x+5[/tex]

4.

[tex]y=\frac{1}{4}x[/tex]

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