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Popular >

simplify log_{0.25}(64)

Solution

simplify

lo g_{0.25} (64)

Solution

- 3

Solution steps

lo g_{0.25} (64)

Factor the number:

64 = 2^{6}

= lo g_{0.25} (2^{6})

Apply log rule:

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

lo g_{0.25} (2^{6}) = 6 lo g_{0.25} (2)

= 6 lo g_{0.25} (2)

Simplify

lo g_{0.25} (2) : - \frac{1}{2}

= 6 (- \frac{1}{2})

Simplify

= - 3

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Frequently Asked Questions (FAQ)

What is log_{0.25}(64) ?
The solution to log_{0.25}(64) is -3