Question

Use the properties of logarithms to simplify Log(4) (4x^2), where x>0.

The answer I got was Log(4) (x^2), is this correct?

Answer 1

you are thinking correctly, but you made a little error.

\(\normalsize\color{blue}{ Log_4(4x^2)= Log_44+Log_4x^2= 1+Log_4x^2 =1+2Log_4x}\)

Answer 2

Thank you so much for the clarification.

Answer 3

Anytime !