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Popular >

simplify log_{1/2}(8)

Solution

simplify

lo g_{\frac{1}{2}} (8)

Solution

- 3

Solution steps

lo g_{\frac{1}{2}} (8)

Apply log rule:

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

lo g_{\frac{1}{2}} (8) = - lo g_{2} (8)

= - lo g_{2} (8)

Factor the number:

8 = 2^{3}

= - lo g_{2} (2^{3})

Apply log rule:

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

lo g_{2} (2^{3}) = 3

= - 3

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simplify (4sqrt(2))/(sqrt(3))simplify

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Frequently Asked Questions (FAQ)

What is log_{1/2}(8) ?
The solution to log_{1/2}(8) is -3