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Question

If (2)m+1×25=42 the value of m is

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Solution

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


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