The value of the logarithm function ${log}_{8} {log}_{4} {log}_{2} 16$ is equal to

0

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2

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4

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8

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Solution

The correct option is A $0$
Consider, ${log}_{8} {log}_{4} {log}_{2} 16$
$= {log}_{8} {log}_{4} {log}_{2} 2^{4} = {log}_{8} {log}_{4} 4 = {log}_{8} 1 = 0$
Hence, option A.

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