log(5x-2 +1)= x + log 13 - 2 log 5 ...
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log(5x-2 +1)= x + log 13 - 2 log 5 +(1-x)log 2

JEE/Engineering Exams
Maths
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( log left(5^{x-2}+1right)=x+log 13-2 log 5+(1-x) log 2 ) ( log left(5^{x-2}+1right)=log left(frac{left.13 cdot 10^{x} times 2^{(1-x)}right)}{5^{2}}right. ) ( 5^{x-2}+1=frac{13}{25} 10^{x} times 2^{(1-x)} ) ( 5^{x-2}+1=13 cdot 5^{x-2} 2^{x+1-x} ) ( 5^{x-2}+1=operatorname{sen}^{2} x^{2}-2 x^{2}-6 ) ( 1=25left(5^{(x-2)}right) ) ( 1=5^{x-2+2} ) ( frac{1-5^{x}}{x=0} )
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