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2 years ago

Write each number as a logarithm with base 2:-3

Mathematics

1 answer:

expeople1 [14]2 years ago

7 0

The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

<h3>What are logarithms?</h3>

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

<h3>How to rewrite the number as a logarithm?</h3>

The number is given as:

x = -3

The base of the logarithm is given as:

Base = 2

To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

Number =2^-3

Apply the power rule of indices

Number =1/2^3

Evaluate the exponent

Number = 1/8

Evaluate the quotient

Number = 0.125

Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)

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What type of decimal is this fraction: LaTeX: \frac{11}{20}

skad [1K]

11/20

Divide 11 by 20 to find the decimal value.

11/20 = 0.55

The decimal only contains two numbers, so it is a terminating fraction.

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3 years ago

Thomas drew a line of best fit for the scatter plot as shown. Enter an equation for the line of best fit in slope-intercept form

juin [17]

Answer:

Equation of line best fits the scatter plot is y = $-\frac{30}{7} x + 108$

Step-by-step explanation:

Let the equation of line be y = mx + c

where m = slope of line and c is the intercept on y -axis

from the graph intercept on y-axis is 108

and the slope of line is given by m = $\frac{y_2 - y_1}{x_2 - x_1}$ where ( $x_2,y_2$ ) and ( $x_1,y_1$ ) is the points on line

let, points be (4,96) and (18,36)

on calculating this m = $\frac{y_2 - y_1}{x_2 - x_1}$ = $-\frac{30}{7}$

Therefore equation of line best fits the scatter plot is y = $-\frac{30}{7} x + 108$

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3 years ago

Evaluate<br> 2^-4/4^0<br> Write your answer as a fraction in simplest form

Luden [163]

Answer:

1/16 or 0.0625

Step-by-step explanation:

Im not sure but this may be the answer

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3 years ago

The school's computer lab goes through 5 reams of printer paper every 6 weeks. Find out how long 3 cases of printer paper is li

djyliett [7]

So to start 3*8=24 reams of paper
24 divided by 5=4.8
4.8*6=28.8 weeks.
It's up to you if you want to do 28 weeks or 29 weeks

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3 years ago

Out of the thirty

labwork [276]

Answer:

She answered 76 percent of the question correct.

Step-by-step explanation:

Convert fraction (ratio) 23 / 30 Answer: 76.6%

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3 years ago