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Popular >

simplify log_{1/2}(0.5)

Solution

simplify

lo g_{\frac{1}{2}} (0.5)

Solution

1

Solution steps

lo g_{\frac{1}{2}} (0.5)

Apply log rule:

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

lo g_{\frac{1}{2}} (0.5) = - lo g_{2} (0.5)

= - lo g_{2} (0.5)

0.5 = \frac{5}{10}

= - lo g_{2} (\frac{5}{10})

\frac{5}{10} = 2^{- 1}

= - lo g_{2} (2^{- 1})

Apply log rule:

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

lo g_{2} (2^{- 1}) = - 1

= - (- 1)

Apply rule

- (- a) = a

= 1

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Frequently Asked Questions (FAQ)

What is log_{1/2}(0.5) ?
The solution to log_{1/2}(0.5) is 1