Logarithm Equation

Question

What is x in the equation log_1/2 (1/9)=log₂x² 

Answer 1

log_1/2 (1/9)=log₂x² 

log₂(9)=log₂x²

x²=9

x=±3

Answer 2

He re's how I interpret the left side: log (base one half) of the fraction one ninth.

 

I will apply thechange-of-base formula to the left side, and therefore

ln(1/9) / ln (1/2) = 2xln2

...error here! right side should be (ln x^2 )/ ln x or 2 (lnx)/(ln2)