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Popular >

simplify log_{1/8}(64)

Solution

simplify

lo g_{\frac{1}{8}} (64)

Solution

- 2

Solution steps

lo g_{\frac{1}{8}} (64)

Apply log rule:

lo g_{\frac{1}{a}} (x) = - lo g_{a} (x)

lo g_{\frac{1}{8}} (64) = - lo g_{8} (64)

= - lo g_{8} (64)

Factor the number:

64 = 8^{2}

= - lo g_{8} (8^{2})

Apply log rule:

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

lo g_{8} (8^{2}) = 2

= - 2

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Frequently Asked Questions (FAQ)

What is log_{1/8}(64) ?
The solution to log_{1/8}(64) is -2