Log!

Algebra Level 3

For what positive integer value of \(x\) is the \(9^\text{th} \) term in the expression \( \left( 3^{\log_3 \sqrt{25^{x-1} + 7}} + 3^{-\frac18 \log_3 \left(5^{x-1} + 1\right)} \right)^{10} \) is 180?

×

Problem Loading...

Note Loading...

Set Loading...