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Popular >

simplify log_{5}(sqrt(125))

Solution

simplify

lo g_{5} (125)

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

lo g_{5} (125)

125 = 5^{\frac{3}{2}}

= lo g_{5} (5^{\frac{3}{2}})

Apply log rule:

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

= \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is log_{5}(sqrt(125)) ?
The solution to log_{5}(sqrt(125)) is 3/2