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Popular >

simplify log_{1/4}(16)

Solution

simplify

lo g_{\frac{1}{4}} (16)

Solution

- 2

Solution steps

lo g_{\frac{1}{4}} (16)

Apply log rule:

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

lo g_{\frac{1}{4}} (16) = - lo g_{4} (16)

= - lo g_{4} (16)

Factor the number:

16 = 4^{2}

= - lo g_{4} (4^{2})

Apply log rule:

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

lo g_{4} (4^{2}) = 2

= - 2

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Frequently Asked Questions (FAQ)

What is log_{1/4}(16) ?
The solution to log_{1/4}(16) is -2