Question

How do you solve `3^(1-x)=5^x`?

Answer 1

`x=(log_e3)/(log_e3+log_e5)`

Explanation:

`3^(1-x)=5^x-> 3=3^x5^x`

`x(log_e3+log_e5)=log_e3`

`x=(log_e3)/(log_e3+log_e5)`