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Popular >

simplify log_{1/5}(1/25)

Solution

simplify

lo g_{\frac{1}{5}} (\frac{1}{25})

Solution

2

Solution steps

lo g_{\frac{1}{5}} (\frac{1}{25})

Apply log rule:

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

lo g_{\frac{1}{5}} (\frac{1}{25}) = - lo g_{5} (\frac{1}{25})

= - lo g_{5} (\frac{1}{25})

\frac{1}{25} = 5^{- 2}

= - lo g_{5} (5^{- 2})

Apply log rule:

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

lo g_{5} (5^{- 2}) = - 2

= - (- 2)

Apply rule:

- (- a) = a

- (- 2) = 2

= 2

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Frequently Asked Questions (FAQ)

What is log_{1/5}(1/25) ?
The solution to log_{1/5}(1/25) is 2