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`