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Popular >

simplify log_{2}((sqrt(2))^5)

Solution

simplify

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

Solution

\frac{5}{2}

+1

Decimal Notation

2.5

Solution steps

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

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

= lo g_{2} (2^{\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_{2}((sqrt(2))^5) ?
The solution to log_{2}((sqrt(2))^5) is 5/2