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The value of ...

Question

The value of $x$ for which the function $\frac{1}{2^{x} - 5}$ is not defined

A

{log}_{2} 5

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B

{log}_{5} 2

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C

{log}_{e} 2

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D

{log}_{e} 5

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Solution

The correct option is B ${log}_{2} 5$
For $f$ to be undefined,
$2^{x} - 5 = 0$ $\Rightarrow 2^{x} = 5$
$x = {log}_{2} 5$

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