#1**+1 **

Solve for x:

log(log(x)/log(2))/log(3) = 2

Multiply both sides by log(3):

log(log(x)/log(2)) = 2 log(3)

2 log(3) = log(3^2) = log(9):

log(log(x)/log(2)) = log(9)

Cancel logarithms by taking exp of both sides:

log(x)/log(2) = 9

Multiply both sides by log(2):

log(x) = 9 log(2)

9 log(2) = log(2^9) = log(512):

log(x) = log(512)

Cancel logarithms by taking exp of both sides:

**x = 512**

Guest Mar 2, 2018