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Question

Solve : 23x+1+27=(4)4

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Solution

23x+1+27=(4)4

23x+1+27=(1)4.(22)4

23x+1+27=28 (since, (am)n=amn)

23x+1=2827

23x+1=27(21)

23x+1=27

when bases are equal then equate the powers

3x+1=7

3x=6

x=2

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