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(5)^x-3 X (3)^2x-8= 225
=(15)^2
= (5)^2 x (3)^2
Comparing LHS and RHS,
(x-3)(2x-8)=2x2
2x^2-8x-6x+24=4
2x^2-14x+20=0
2(x^2-7x+10)=0
x^2-2x-5x+10=0/2
x(x-2)-5(x-2)=0
(x-2)(x-5)=0
Therefore, x=2(Rejected) or x=5
Ans:- x=5
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