Question

Solve the equation for x, accurate to three decimal places: log3 (log2 x) = 1.

Answer 1

Make both sides powers of 3:

$3^{\log_3(\log_2x)}=3^1\implies\log_2x=3$

Make both sides powers of 2:

$2^{\log_2x}=2^3\implies x=8=8.000$