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Popular >

expand log_{4}(1/64)

Solution

expand

lo g_{4} (\frac{1}{64})

Solution

- 3

Solution steps

lo g_{4} (\frac{1}{64})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{4} (\frac{1}{64}) = lo g_{4} (1) - lo g_{4} (64)

= lo g_{4} (1) - lo g_{4} (64)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{4} (64)

0 - lo g_{4} (64) = - lo g_{4} (64)

= - lo g_{4} (64)

Simplify

lo g_{4} (64) : 3

= - 3

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Frequently Asked Questions (FAQ)

What is expand log_{4}(1/64) ?
The solution to expand log_{4}(1/64) is -3