Question

\({7}^{x}+{7}^{x+2}+{7}^{x+3}=2751\)

Answer 1

\(7^x+7^{x+2}+7^{x+3}=2751\)

\(7^x+7^x.7^2+7^x.7^3=2751\)

\(7^x\left(1+49+343\right)=2751\)

\(7^x.393=2751\)

\(7^x=7\)

\(=>7^x=7^1\)

\(=>x=1\)