Question

\(^{5^x.128-5^{x+3}=375}\)

Answer 1

\(5^x\times128-5^{x+3}=375\)

\(5^x\times128-5^x\times125=375\)

\(5^x\left(128-125\right)=375\)

\(5^x\times3=5^3\times3\)

\(5^x=5^3\)

\(\Rightarrow x=3\)

Answer 2

5^x . 128 - 5^{x + 3} = 375

=> 5^x . 128 - 5^x . 125 = 375

=> 5^x . (128 - 125) = 375

=> 5^x . 3 = 375

=> 5^x = 125

=> x = 3