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Laws of Exponents for Real Numbers

Solve: log2...

Question

Solve: ${log}_{2} ({log}_{2} 4)$

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is A $1$
Given, ${log}_{2} ({log}_{2} 2^{2})$

$= {log}_{2} (2 {log}_{2} 2)$ since $log a^{m} = m log a$

$= {log}_{2} 2$ since ${log}_{a} a = 1$

$= 1$ since ${log}_{a} a = 1$

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