Question

Select all the correct answers.
Which expressions are equivalent to log4 (²) ?

Answer 1

A: -1 + 2 log4^x

C: log4 (1/4) + log4 x^2

Explanation:

Apply logarithm properties:

log4 (1/4x^2) = log4 (1/4) + log4 x^2

Evaluate: log4 (1/4)

log4 (1/4) = -1

Substitute the value back:

-1 + lg4 x^2

Apply logarithm properties:

-1 + 2 log4 ^x

Draw a conclusion:

The expressions equivalent to: log4 (1/4x^2) are:

Answer Choices: A, and C

A= -1 + 2 log4^x

C= log4 (1/4) + log4 x^2

Hope this helps!