Use the values ln 4≈1.4 and ln 100≈4.6 to find the approximate value of log 4 100. log4100≈6.0
log4100≈0.30
log4100≈3.3 l
log4100≈6.4

Answers

Answer 1

By using logarithm properties and arithmetic operations, the approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.

How to estimate the value of a logarithm by base change property for logarithms

In this problem we find two approximate value of two natural logarithms and we are asked to find the value of a logarithm of base 10 in terms of the two natural logarithms, whose approximate values are given. This can be done by using logarithm properties, especially the base change property:

㏒₄ 100, ㏑ 4, ㏑ 100 Given

㏑ 100 / ㏑ 4 Base change property of logarithms

4.6 / 1.4 Substitution of each logarithm (Step 1)

23 / 7 Amplification of fraction / Definition of multiplication

3.286 Definition of division / Result

The approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.

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Related Questions

5x - 3x - (-1) = x-4

Answers

Answer:

x=-5

Step-by-step explanation:

the answer is -5 hope i could help

Can someone help me with all of these please if you could please answer like this

1) Answer
2) Answer
Etc....

Answers

Answer:

17) 53°

18) 113°

19) 4

20) 7

Step-by-step explanation:

19) 21x + 6 = 90

21x = 84

x = 4

20) 11x - 2 = 75

11x = 77

x = 7

PLZ HELP Which fraction is equivalent to negative 5 over 9 ?

A.negative 9 over 5

B. 5 over 9

C. 5 over negative 9

D. negative 9 over negative 5

HELP MEEEEEEEEE

Answers

Answer:

C. 5 over negative 9

Step-by-step explanation:

They both equal -0.6

What is the value of the expression shown below? 4 + 2 x 52

Answers

The answer 108 because of pemdas

3QWz4exrtv7y8huji0ko,pminbyutcr

Answers

Wha..?

............................................................................................

___ Compare one quantity to 100

A. Percents

B. Variables

C. Interest rates

D. Factors

Answers

Answer: Percents

Explanation:

Sara says, "If you subtract 11 from my number and multiply the difference by -5 , the result is -125 ." What is 's number?

Answers

Answer:

Step-by-step explanation:

x is the number

(x-11)(-5) = -125

x - 11 = 25

x = 25 + 11

x= 36

− 14 n + q = r t − 4 n , for n

Answers

Answer:

n = q/10 - (r t)/10

Step-by-step explanation:

Solve for n:

q - 14 n = r t - 4 n

Subtract q - 4 n from both sides:

-10 n = r t - q

Divide both sides by -10:

Answer: n = q/10 - (r t)/10

How can the graph look like?
Pls help

Answers

Answer: OK, stay with me on this one

the image is what your graph will look like, but with 2 lines instead of one. on the bottom, mark the months. on the side, write temperatures. Then on each month for the line for A, dot the temperature it is with a connected line. (Like the line is on the image.) Then do the same for the line for city B. I'd recommend doing it in 2 different colors, and label some where else which city.

I can go into a little more detail if needed

(x)(x⁷)(7x³) =
(15x⁶y²) (1/5 x3y3) =
(2c²d³/3c-²d-⁴) =

Answers

The result of the following questions are

[tex](x)(x^{7})(7x^{3})=7x^{11} \\(15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3})=3x^{9}y^{5}\\\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}c^{4}d^{7}[/tex]

Given,

We have to solve the questions using exponent rules

Part 1

[tex](x)(x^{7})(7x^{3})=7x^{1+7+3}\\=7x^{11}[/tex]

Part 2

[tex](15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3} )=\frac{15}{5} (x^{6+3}y^{2+3})\\ =3(x^{9}y^{5})[/tex]

Part 3

[tex]\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}{c^{2--2}d^{3--4}\\=\frac{2}{3}c^{4}d^{7}[/tex]

Hence, the result of the following questions are

[tex](x)(x^{7})(7x^{3})=7x^{11} \\(15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3})=3x^{9}y^{5}\\\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}c^{4}d^{7}[/tex]

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Whats The Answer Marking Brainliest, Please explain your answer or you will not be getting brainliest....

Answers

Answer: A

Step-by-step explanation:

the answer is A

The answer is A because, the absolute vale of the left is equal to the right.

~I hope this was the explanation you were looking for.

what is the multiplicative inverse of 10 raise to the power 10

Answers

ESP, answer: at least 5002

Answer:

10*10*10*10*10*10*10*10*10*10

MARKING BRAINLIEST How many times will the decimal in the divisor move?
36.80 = 2.3
MARKING BRAINLIEST

Answers

2 times it will have to move

Answer:

it will move once

Step-by-step explanation:

If (x − 2) ∶ 5 = 7 ∶ 9, then find the value of x.

Answers

Answer:

x=53/9

Step-by-step explanation:

(x-2):5=7:9

9x-18=35

9x=35+18

9x=53

x=53/9

Find the 64th term of the arithmetic sequence -4, -21, -38, ...−4,−21,−38,...

Answers

Answer:

-1075

Step-by-step explanation:

The 64th term of the arithmetic sequence -4, -21, -38, .... is -1075.

What is Arithmetic Sequence?

Arithmetic sequences are a set of numbers written in an order where the difference of any two consecutive term will be a constant. This constant difference between the consecutive terms is called the common difference commonly denoted by 'd'. In other words, arithmetic sequences are formed by adding or subtracting a constant number to each term.

Arithmetic sequences are also known as arithmetic progression.

Here, the given sequence is -4, -21, -38, ...

Common difference, d = (-21) - (-4) = -21 + 4 = -17

First term, a = -4

We have to find the 64th term of this sequence.

nth term of an arithmetic progression is given by the formula,

aₙ = a + (n - 1)d

a₆₄ = -4 + [(64 - 1) × (-17)]

= -4 + [63 × (-17)]

= -4 + (-1071)

= -1075

Hence the 64th term of the arithmetic sequence -4, -21, -38, .... is got as -1075.

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What is 10,000, 000,000,000,000,000 x 38=?

Answers

Answer:

380000000000000000000

Step-by-step explanation:

What are the coordinates of the point that is one half the distance between A(−3, −5) and B(2, 7)?

Enter your answer by filling in the boxes.

(_____ , ______)

Answers

Answer:

[tex](\frac{-1}{2},1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

A (-3, -5)

B (2, 7)

Step 2: Find midpoint

Substitute: [tex](\frac{-3+2}{2},\frac{-5+7}{2})[/tex]Add: [tex](\frac{-1}{2},\frac{2}{2})[/tex]Divide: [tex](\frac{-1}{2},1)[/tex]

Graph the equation y = 1-22 + 2x + 3 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.

Answers

Answer:

Step-by-step explanation:

PLEASE ANSWER!! THANKS:))

Answers

Answer:

the first one is the correct answer

^eksponensial^

general form and answer (lies in paper)

ok, thanks.

FiNaLlY fOuNd

math question i dont get it

Answers

Answer: C.

Step-by-step explanation: does 15=10+5? Yes. Does 30=25+5? Yes. Does 45=40+5? Yes indeed.

10000000000 in standard form

Answers

Answer: 10^10

Step-by-step explanation:

that is in standard form. if you’re talking about scientific notation, then it would be 10 x 1.0^10

A tree initially measured 3812 feet tall. Over the next 512 years, it grew to a final height of 4912 feet. During those 512 years, what was the average yearly growth rate of the height of the tree?

Answers

Answer:

2 feet per year

Step-by-step explanation:

I think you meant 38 1/2

and 5 1/2

but if you didn't then its

2.1484375

because

4912-3812=1100

1100÷512= 2.1484375

Divide. 3/7 divided by 6

Answers

Answer:

1/14

Step-by-step explanation:

[tex] \frac{3}{7} \times \frac{1}{6} = \frac{1}{14} [/tex]

or 0.071

please mark me brainliest and 5 star

Andrea, Dina, and Lindsay invested in a partnership in the ratio of 79:14, respectively. Ten years later, their partnership was worth $1,800,000. Dina decided to move to Europe and sold her part of the partnership to Andrea a. How much did Andrea pay Dina for her share of the partnership? Round to the nearest dollar b . What percent of the business did Andrea own after she bought out Dina? Round to the nearest tenth of a percent.

Answers

The amount that Andrea pay Dina for her share of the partnership will be $810,000

The percent of the business did Andrea own after she bought out Dina will be 80%.

How to calculate the value?

The amount that Andrea pay Dina for her share of the partnership will be:

= 9/(7 + 9 + 4) × $1800000

= 9/20 × $1,800,000

= $810,000

The percent of the business did Andrea own after she bought out Dina will be:

= (7 + 9)/20

= 16/20 × 100

= 80%

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PLS HELO FAST What is the value of this expression when c= -4 and d= 10? 1(c3+2) A. 2 9 D.

Answers

Answer:

just substitute them and calculate them it's that easy

Answer:

Step-by-step explanation:

-4³ is - 64 +10² which is 100 = 36

36÷4=9

The scatterplot illustrates the relationship between two quantitative variables: the number of seeds planted per square foot and the yield of the crop (in pounds per square foot).

A graph titled Number of Seeds and Crop Yield has seeds (per square foot) on the x-axis, and yard (pounds per square foot) on the y-axis. The points curve up to a point, and then curve back down.

Which of the following is an accurate description of the scatterplot?

Answers

Answer:

I cannot confirm answer (D), but it looks correct to me.

Here's the option:

The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is around 60.

ED2021

Select the function that matches the graph.

Answers

Answer:y=3x+1

Step-by-step explanation:

Answer:y=3x +1

Step-by-step explanation:

need this real quick, please.

Answers

Answer:

(0, 3/2)

Step-by-step explanation:

the slope is 0.

the y intercept is 3/2.

0,3/2! hope this was helpful :)

18. what is the midpoint of PQ P(-2, 2.5), Q(1.4, 4)

Answers

Mid point of the points PQ is (₋0.3 , 3.25)

Given points are:

P(₋2 , 2.5)

Q(1.4 , 4)

midpoint of PQ = ?

A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.

The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.

Midpoint formula (x,y) = (x₁ ₊ x₂/2 , y₁ ₊ y₂/2)

we have two points:

P(₋2,2.5) = (x₁,y₁)

Q(1.4,4) = (x₂,y₂)

Midpoint = (₋2 ₊ 1.4/2 , 2.5₊4/2)

= (₋0.6/2 , 6.5/2)

= (₋0.3 , 3.25)

Hence we determined the midpoint of PQ as (₋0.3 , 3.25)

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You buy 80 of your favorite songs from a Web site that charges $0.99 for each song What is the cost of 80 songs?

Answers

Answer:

$79.20

Step-by-step explanation:

0.99 x 80 = 79.2

Hope this helps. (:

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Use the values ln 4≈1.4 and ln 100≈4.6 to find the approximate value of log 4 100. log4100≈6.0 log4100≈0.30 log4100≈3.3 l log4100≈6.4

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Use the values ln 4≈1.4 and ln 100≈4.6 to find the approximate value of log 4 100. log4100≈6.0
log4100≈0.30
log4100≈3.3 l
log4100≈6.4