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If we have two algebraic expressions and , . Then, what is the value of ?

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answer is A.

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Detailed Solution

Concept: We are given the two expressions i.e.,

and

. Now, to find the value of variables. Put

in the first expression and when the powers will be same apply log both sides and to solve further apply logarithm formula

.
Given expressions are,

From equation (1) and (2) ,

Applying

both the sides,

As we know that,

Therefore,

It implies that,

Put

in equation (2) , we get

Now,

Hence, the correct answer is option (1) .

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