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Popular >

simplify log_{2}(log_{3}(81^4))

Solution

simplify

lo g_{2} (lo g_{3} (8 1^{4}))

Solution

4

Solution steps

lo g_{2} (lo g_{3} (8 1^{4}))

lo g_{3} (8 1^{4}) = 16

= lo g_{2} (16)

Factor the number:

16 = 2^{4}

= lo g_{2} (2^{4})

Apply log rule:

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

= 4

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Frequently Asked Questions (FAQ)

What is log_{2}(log_{3}(81^4)) ?
The solution to log_{2}(log_{3}(81^4)) is 4