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Q.

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


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a

 Question Image

b

 Question Image

c

 Question Image

d

 Question Image

answer is A.

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Detailed Solution

Concept:  We are given the two expressions i.e., Question Image and Question Image. Now, to find the value of variables. Put Question Image in the first expression and when the powers will be same apply log both sides and to solve further apply logarithm formula Question Image.
Given expressions are,
Question ImageQuestion ImageFrom equation (1) and (2) ,
Question ImageQuestion ImageQuestion ImageApplying Question Image both the sides,
Question ImageAs we know that, Question ImageTherefore, Question ImageQuestion ImageIt implies that,
Question ImagePut Question Image in equation (2) , we get Question ImageNow, Question ImageHence, the correct answer is option (1) .
 
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