Question

5^(x-1)+5^(x+2)=70*3^x

Answer 1

$5^{x-1}+5^{x+2}=70*3^x\5^{x-1}(1+5^{x+2-x+1})=70*3^x\5^{x-1}(1+5^3)=70*3^x\5^{x-1}*126=70*3^x\5^x*5^{-1}*126=70*3^x\ frac{5^x}{3^x}= frac{70*5}{126} \\( frac{5}{3} )^x= frac{25}{9}\\ ( frac{5}{3} )^x =( frac{5}{3} )^2\\x=2$