Answer:
2
Step-by-step explanation:
basically logarithms are like reverse exponents
log7, 49 is basically asking 7 to the what gets you 49
because of that its 2 because 7^2 gets you 49
========================================================
Explanation:
Recall that any exponential equation of the form [tex]b^x = y[/tex] can be written into its equivalent log form of [tex]\log_{b}(y) = x[/tex]. Note how in both cases, 'b' is the base. For the exponential equation, x is buried in the exponent and y is free on its own. In the log equation, we have y buried in the log and x is free or isolated on its own.
In your case, we have b = 7 and y = 49. This means [tex]\log_{7}(49) = x[/tex] is the same as [tex]7^x = 49[/tex] when converting from log form to exponential form. Then we can rewrite that 49 into 7^2 to get [tex]7^x = 7^2[/tex]. The bases are both 7, so the exponents must be the same as well. Therefore, x = 2.
-------------------
We could follow a different approach. We could apply the change of base formula. The change of base formula is
[tex]\log_{b}(x) = \frac{\log(x)}{\log(b)}[/tex]
On the left side, we have log base b; however, on the right side, the log can be any base we want. Oftentimes it's handy to go with base 10, though again it doesn't matter the base on the right hand side logs.
So we would then say...
[tex]\log_{b}(x) = \frac{\log(x)}{\log(b)}\\\\\log_{7}(49) = \frac{\log(49)}{\log(7)}\\\\\log_{7}(49) = \frac{1.69019608002851}{0.84509804001426}\\\\\log_{7}(49) = 1.99999999999999\\\\[/tex]
Due to rounding error, we don't land exactly on 2 as expected. However, we get close enough.
what is 23 – 7x + 6 + 8x = 26
Answer: x = -3
Step-by-step explanation: hope this helps
23 – 7x + 6 + 8x = 26
x + 29 = 26
x + 29 - 29 = 26 - 29
x = 26 - 29
x = -3
Answer:
x=-3
Step-by-step explanation:
23 – 7x + 6 + 8x = 26
Add the numbers to get,
29-7x+8x=26
Move the constant to the right,
29+x=26
Add the numbers to get,
x=26=29
Calculate the difference
x=26-29
Calculate,
x=-3
Salma and Jared each threw 5 darts at the target shown. Salma scored 19 points by landing 2 darts in A and 3 in B. Jared scored 17 points by landing 1 dart in A and 4 in B. How many points are given for a dart landing in A?
Answer:
5
Step-by-step explanation:
this can be solved using simultaneous equation
2a + 3b = 19 equation 1
1a + 4b = 17 equation 2
Multiply equation 2 by 2
2a + 8b = 34 equation 3
Subtract equation 1 from 3
5b = 15
b = 3
Substitute for b in equation 1
2a + 3(3) = 19
2a = 9 = 19
2a = 10
a = 5
Answer:
Step-by-step explanation:
2a + 3b = 19 equation 1
1a + 4b = 17 equation 2
Multiply equation 2 by 2
2a + 8b = 34 equation 3
Subtract equation 1 from 3
5b = 15
b = 3
Substitute for b in equation 1
2a + 3(3) = 19
2a = 9 = 19
2a = 10
a = 5
Diana baked 36 cookies with 4 scoops of flour. How many scoops of flour does Diana need in order to bake 45 cookies? Assume the relationship is directly proportional.
Answer:
5 scoops of flour
Step-by-step explanation:
36 divided by 4 is 9
9 x 5 is 45
Sarah’s weekly pay is increasing from $525 per week to $600 per week. which of the following is closest to the percent Sarah’s pay is going up?
1)8.3%
2)10.4%
3)12.5%
4)14.3%
Help please asap
What is the surface area
Answer:
27
Step-by-step explanation:
maybe?
Answer:
486
Step-by-step explanation:
start by finding the area of 1 side
then you multiply it by 6 since a cube has 6 sides
Identify the line segment that is a diameter.
Answer:
The line segment that is a diameter is BE.
hope it helps :)❤
Answer:
BE.
Step-by-step explanation:
A diameter is any line segment which passes through the centre and has endpoints on the circle at opposite sides.
Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (round to the nearest integer). A) 39 units2 B) 52 units2 C) 64 units2 D) 78 units2
Answer:
78
Step-by-step explanation:
I just got it right
Convert 0.9 cm into m
Answer is 0.009
0.9 ( 0.01 m / cm ) = 0.009
need done soon! offering 20 points!!
Mrs. Roberts’ dog, Rover, loves to eat peanuts. A cylindrical can of peanuts has a diameter of 4 inches and a height of 9 inches. Which of the following equations can be used to find the volume of the can of peanuts? 8 points
Answer:
c
Step-by-step explanation:
cccccccccccc
Instructions: Given the vertex of a quadratic function, find the axis of symmetry.
(-1,3)
PLS PLS PLS PLS PLS HELP QUICK PLS PLS PLS PLS PLS
Answer:
c. 7x+11x=90
Step-by-step explanation:
right angle triangle sum up to 90
Answer:
7x+11x=90
Step-by-step explanation:
The 90 degree angle is made of 7x and 11x so you solve like a multi step equation after this.
Anyone help please anyone
Which expression is a factor of 9r^2 - 4r + 1?
F 3r-1
G r- 1
H- 9r- 1
J- There are no real factors.
9514 1404 393
Answer:
J- There are no real factors.
Step-by-step explanation:
For quadratic ax^2 +bx +c, the discriminant is ...
d = b^2 -4ac
d = (-4)^2 -4(9)(1) = 16 -36 = -20
When the discriminant is negative, there are no real factors.
Answer: there are no real factors
Step-by-step explanation:
A: {-4, -2 -1, 2}
B: {-4, 4}
C: {-3, -2, 0, 2}
D: {-4, -2, -1, 0, -2}
Answer:this is soooo compli
Step-by-step explanation:
Don't use such phrases here, not cool! It hurts our feelings :(.
what is this i just asked a question and i get this.
Answer:
true
Step-by-step explanation:
The area of the triangle below is 6.75 square meters. What is the length of the base?
Answer:
4.5
Step-by-step explanation:
I hope this helps, sry don't have enoug h time to explain
Please help, if do, thank you luvs<33
have a good day
Liam plans to start depositing $175 each month into an interest earning savings account. According to his online calculations, the balance of the savings account in 5 years will be about $12,100. How much of the final balance will come from interest earned? Group of answer choices
Answer:
10,600
Step-by-step explanation:
can you give me the brainliest pls
The final balance will come from interest earned will be $1,600.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific amount of time. The principal amount in simple interest is constant.
To find out how much of the final balance will come from the interest earned, you have to determine the total value of the deposits made and subtract this from the balance the account will have after 5 years.
The amount deposited each month: $175
Months: 12 x 5= 60
Total amount deposited: $175*60= $10,500
Interests: $12,100-$10,500= $1,600
According to this, the amount of the final balance that will come from the interest earned is $1,600.
To know more about simple interests follow
https://brainly.com/question/25793394
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Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation x² + 10x + 27 = 0.
Completing the square leads to the equivalent equation (x + ___)² = ___.
.
Answer:
(x + 5)² = 2 ==> x² + 10x + 27 = 0
Completing the square of the given quadratic equation leads to the equivalent equation (x + 5)² = -2.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is,
x² + 10x + 27 = 0
We have the algebraic identity that,
(a + b)² = a² + 2ab + b²
The given quadratic equation is in the form of a² + 2ab + b², where a = x.
So, 2xb = 10x
⇒ b = 5
Now, b² = 25.
So, the given can be written as,
(x² + 10x + 25) + 2 = 0
(x + 5)² = -2
Hence the equivalent form is (x + 5)² = -2.
Learn more about Quadratic Equations here :
https://brainly.com/question/12014272
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A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.
Answer:
86.33 square micrometers
Step-by-step explanation:
A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.
The formula for the Surface Ares mma is given as :
A=a² + 2a √a²/4+ h²
a = base edge = 5 micro meters
h = height = 5.6 micro meters
=5²+2× 5 × √5²/4+ 5.6²
= 86.32699 square micrometers
≈ 86.33 square micrometers
Write at least two operations that have the value - 2/4.
Answer:
(-1)- (-1/2)= -0.5
Step-by-step explanation
-0.5 = to -2/4 in fraction
-0.5 in a fraction equals -2/4
and heyo
What is the area of the parallelogram?
Answer:
no se
tep-by-step explanation:
help asap kinda confused D;
Answer:
its 8
2 to the power of 3 is 8
Algebra: Probability
Make a box-and-whisker plot from the following data. Find the and label the quartile 1, quartile 2, quartile 3, minimum, and maximum.
5, 8, 9, 10, 12, 14, 17, 18, 20, 33, 36, 40, 40, 56, 68
Brainliest for most helpful answer
Answer:
[tex]qurtile1 = (\frac{n + 1}{4})th \: item \\ = (\frac{15 + 1}{4})th \: item \\ = 4th \: item \\ quartile1 = 10 \\ now \\ quartile2 =( \frac{n + 1}{2})th \: item \\ = ( \frac{15 + 1}{2})th \: item \\ = 8th \: item \\ quartile2 = 18 \\ again \\ quartile3 = 3( \frac{n + 1}{4})th \: item \\ = 3( \frac{15 + 1}{4})th \: item \\ = 12th \: item \\ quartile3 = 40[/tex]
what is (100×23)+46
also i just need my question to be longer so hi
Answer:
(100×23)+46=2346
Step-by-step explanation:
thats what my calculator said sheeesh seeesh can I get brainliest sheesh sheeesh
Working on math right now!
Answer:
Hi! The answer to your question is A. [tex]5^{4} * 4^{8}[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
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- Brooklynn Deka
(06.01)The probability that an event will occur is 95%. Which of these best describes the likelihood of the event occurring? Likely Certain Unlikely Impossible
Answer:
Likely
Step-by-step explanation:
The probability of occurrence of a certain event Given as 95% has a high probability figure and hence such event is LIKELY to occur. We cannot class this probability percentage as certain because, an event which is certain to occur who'll have a probability percentage of 100% or a value of 1. Therefore, a probability percentage of 95% occurrence still has 5% Chace of not happening, hence it is only very likely to occur. Hence, the phrase which best describes the probability of an event with 95% probability happening is LIKELY.
CAN SOMEONE PLEASE HELP ME PLEASE
Answer:
Should be <ABC = 25
degrees
Step-by-step explanation:
100 + 55 = 155
180 (Interior Angles of a Triangle Rule) - 155 = 25
Alice conducted a survey to try and determine how many people in Astoria eat fast food at least once per week. She randomly surveyed 200 people and her results are shown below. Approximately how many people eat fast food at least once per week if there are 130,000 living in Astoria?
Answer:
Answer: 71,500
Step-by-step explanation:
Explanation: make a ratio, 110/200 = x/130,000 and cross multiply.
Solve by factoring
x^2-3x+16=7x