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Fundamental Laws of Logarithms

The value of ...

Question

The value of ${log}_{tan 45^{\circ}} (tan 45^{\circ})$ is

A

1

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B

0

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C

- 1

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D

not defined

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Solution

The correct option is D not defined
$tan 45^{\circ} = 1$
Since, base can not be equal to $1.$
So, ${log}_{tan 45^{\circ}} (tan 45^{\circ})$ is not defined.

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Fundamental Laws of Logarithms

Standard XII Mathematics

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