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Popular >

simplify log_{5}(sqrt(5))

Solution

simplify

lo g_{5} (5)

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

lo g_{5} (5)

Apply radical rule:

a = a^{\frac{1}{2}}

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

= lo g_{5} (5^{\frac{1}{2}})

Apply log rule:

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

= \frac{1}{2}

Popular Examples

-2/3 x-21/4 = 27/4

- \frac{2}{3} x - \frac{21}{4} = \frac{27}{4}

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7 z^{2} - 2 z - 5

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\frac{v ^{- 8}}{v ^{7}}

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\frac{- 5 x ^{3} y ^{2}}{10 x y ^{3}}

Frequently Asked Questions (FAQ)

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