Question

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

Answer 1

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

What are logarithms?

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

How to rewrite the number as a logarithm?

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)

Read more about logarithm at:

brainly.com/question/20785664

#SPJ1