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Question Number 49463 by Pk1167156@gmail.com last updated on 07/Dec/18

If   7^(log _7 (x^2 −4x+5)) = x−1,  x may have  values

If7log7(x24x+5)=x1,xmayhavevalues

Answered by tanmay.chaudhury50@gmail.com last updated on 07/Dec/18

a^x =m    x=log_a m  log_7 (x^2 −4x+5)=log_7 (x−1)  x^2 −4x+5=x−1  x^2 −5x+6=0  (x−2)(x−3)=0  x=2  and 3

ax=mx=logamlog7(x24x+5)=log7(x1)x24x+5=x1x25x+6=0(x2)(x3)=0x=2and3

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