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Popular >

simplify log_{2}(log_{3}(81))

Solution

simplify

lo g_{2} (lo g_{3} (81))

Solution

2

Solution steps

lo g_{2} (lo g_{3} (81))

lo g_{3} (81) = 4

= lo g_{2} (4)

Factor the number:

4 = 2^{2}

= lo g_{2} (2^{2})

Apply log rule:

lo g_{a} (a^{b}) = b

= 2

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Frequently Asked Questions (FAQ)

What is log_{2}(log_{3}(81)) ?
The solution to log_{2}(log_{3}(81)) is 2