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Question

If (2)m+1×25=42, then the value of m is _____.


A

-4

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B

-6

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C

-8

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D

-10

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Solution

The correct option is D

-10


Given, (2)m+1×25=42
(2)m+1×25=((2)2)2
(2)m+1+5=(2)4
Since the bases on both the sides are equal, therefore the exponents must also be equal. This means, m+1+5=4, or m=10.


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