What is the value of log (base 2) of log (base 3) of x^2))=2?

log_2(log_3(x²)) = 2





Rewrite the expression as...





log_3 (x²) = 2²


log_3 (x²) = 4


x² = 3^4


x² = 81


x = ±√81


x = ±9





I hope this helps!|||That doesn't make any sense. You've left out some crucial words.





Are you saying that log base 3 of x^2 is 2?


What do you want the log base 2 of?|||log (base 2) of (log (base 3) of (x^2)) = 2


log (base 3) of (x^2) = 2^2


log (base 3) of (x^2) = 4


x^2 = 3^4


x^2 = 81


x = +/- sqrt(81)


x = +/- 9