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Question

Solve for x in the equation (5)x+1×(5)5=(5)7.

A
6
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B
7
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C
2
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D
1
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Solution

The correct option is D 1
Given, (5)x+1×(5)5=(5)7.

(5)x+1+5=(5)7 (am×an=am+n)

i.e., (5)x+6=(5)7

Since the bases are equal, their powers must also be equal.
x+6=7
x=1


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