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Popular >

simplify log_{1/2}(64)

Solution

simplify

lo g_{\frac{1}{2}} (64)

Solution

- 6

Solution steps

lo g_{\frac{1}{2}} (64)

Apply log rule:

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

lo g_{\frac{1}{2}} (64) = - lo g_{2} (64)

= - lo g_{2} (64)

Factor the number:

64 = 2^{6}

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

Apply log rule:

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

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

= - 6

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\frac{3}{4} x - \frac{1}{2} = - 2

Frequently Asked Questions (FAQ)

What is log_{1/2}(64) ?
The solution to log_{1/2}(64) is -6