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Question

The logarithm of 27 to the base 9 is 3m. Then the value of m is equal to

A
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B
2
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C
3
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D
6
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Solution

The correct option is B 2
Since, log927=3m ...(1)
Let log927=x
Converting in exponential form,
27=9x
33=32x
x=32 ...(2)
Comparing equations (1) and (2), we get
m=2

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