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

Solve the equation for x, accurate to three decimal places: log3 (log2 x) = 1.
asked 62.0k views
5 votes
Solve the equation for x, accurate to three decimal places: log3 (log2 x) = 1.

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User Axel
by
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1 Answer

5 votes

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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User JustTheAverageGirl
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8.6k points
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