The correct answer is (C): \(⇒ 2x = \)2log53
\(⇒ x =\) log53
\(⇒ x =\) log5 3*5/5
\(⇒ x =\) log55+log53/5
\(⇒ x = \)1+log5 3/5
The product of all solutions of the equation \(e^{5(\log_e x)^2 + 3 = x^8, x > 0}\) , is :
When $10^{100}$ is divided by 7, the remainder is ?