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:
https://brainly.com/question/20785664
#SPJ1
