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Question

Value of log418 is:

A
an irrational number
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B
a rational number
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C
natural number
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D
whole number
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Solution

The correct option is A an irrational number
log418=log22(2.32)=12log2(2.32)
=12[log22+log232]=12[1+2.log23]

log23 is an irrational number.

Hence, 12[1+2.log23] is also an irrational number.

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