The value of $2^{{log}_{4} 25}$ is ____

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Solution

$2^{{log}_{4} 25} = 25^{{log}_{4} 2} = 25^{\frac{1}{2} {log}_{2} 2} = 25^{\frac{1}{2}} = 5$

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Similar questions

Q. The value of

\int_{0}^{\frac{π}{2}} log (\frac{4 + 3 sin x}{4 + 3 cos x}) d x

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l o g_{3} 2 l o g_{4} 3 l o g_{5} 4 \dots l o g_{15} 14 l o g_{16} 15

Q. The value of

\int_{0}^{π / 2} \log (\frac{4 + 3 \sin x}{4 + 3 \cos x}) d x

is

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\frac{3}{4}

Choose the correct answer.
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A. 2

C. 0

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The value of 2log425 is ____

2log425=25log42=2512log22=2512=5

The value of $2^{{log}_{4} 25}$ is ____

$2^{{log}_{4} 25} = 25^{{log}_{4} 2} = 25^{\frac{1}{2} {log}_{2} 2} = 25^{\frac{1}{2}} = 5$