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Popular >

simplify log_{1/2}(8x)

Solution

simplify

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

Solution

- 3 - lo g_{2} (x)

Solution steps

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

lo g_{\frac{1}{2}} (8) = - 3

= - 3 + lo g_{\frac{1}{2}} (x)

Apply log rule:

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

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

Popular Examples

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lo g_{10} (\frac{x ^{2}}{3})

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ln (ab) + ln (\frac{a}{e})

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lo g_{2} (x^{5})

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Frequently Asked Questions (FAQ)

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