3 years ago

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

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Make both sides powers of 3:

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

Make both sides powers of 2:

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

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