You're missing negative signs on both solutions.I solved two different exponential equations with different bases. However, I can’t verify the equations with the solution for x. Perhaps someone can point out my mistake. An image of my work is attached.
Just for completeness. Herewith the correct solution and verification.You're missing negative signs on both solutions.
For the record, x= log(25)/log(2/5) = -3.5129For the record, x= log(25)/log(2/5)
x≠3.5129
For the record, x= log(25)/log(2/5) ≠ -3.5129For the record, x= log(25)/log(2/5) = -3.5129