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Popular >

simplify log_{6}(64)

Solution

simplify

lo g_{6} (64)

Solution

6 lo g_{6} (2)

+1

Decimal Notation

2.32111 \dots

Solution steps

lo g_{6} (64)

Factor the number:

64 = 2^{6}

= lo g_{6} (2^{6})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{6} (2^{6}) = 6 lo g_{6} (2)

= 6 lo g_{6} (2)

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Frequently Asked Questions (FAQ)

What is log_{6}(64) ?
The solution to log_{6}(64) is 6log_{6}(2)