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Popular >

simplify log_{2}(log_{2}(256))

Solution

simplify

lo g_{2} (lo g_{2} (256))

Solution

3

Solution steps

lo g_{2} (lo g_{2} (256))

lo g_{2} (256) = 8

= lo g_{2} (8)

Factor the number:

8 = 2^{3}

= lo g_{2} (2^{3})

Apply log rule:

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

= 3

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Frequently Asked Questions (FAQ)

What is log_{2}(log_{2}(256)) ?
The solution to log_{2}(log_{2}(256)) is 3