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Popular >

simplify log_{5}(25sqrt(5))

Solution

simplify

lo g_{5} (255)

Solution

\frac{5}{2}

+1

Decimal Notation

2.5

Solution steps

lo g_{5} (255)

255 = 5^{\frac{5}{2}}

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

Apply log rule:

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

= \frac{5}{2}

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Frequently Asked Questions (FAQ)

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