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Logarithms

If log4m = ...

Question

If ${log}_{4} m = 1.5$ , then the value of $m$ is equal to

A

m = 8

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B

m = 4

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C

m = 16

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D

m = 64

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Solution

The correct option is A $m = 8$
Since, ${log}_{4} m = 1.5$
$\Rightarrow m = 4^{1.5} = 2^{2 \times 1.5} = 2^{3} = 8$

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