You can put this solution on YOUR website! this equation doesn't make a lot of sense.
i get log(5) = log(9) after solving it.
i used a calculator and solved it directly using the calculator log function.
i got the same answer as when i simplified it and then got the answer.
the attached document shown below indicates the progression of simplification for this equation.
it is based on what you are showing above.
see below the document for additional comments.
number 1 is just showing the problem again as i see it from what you indicated.
a,b,c are the concepts used.
number 2 is applying concepts a and c on your equation.
number 3 includes the application of concept b.
number 4 is the same as number 3 except 625 raised to the 1/2 power is shown as 25 because 625 raised to the 1/2 power is the square root of 625 which is 25.
number 5 shows the final result which is log(5) = log(9).
since log(5) does not equal to log(9), then the equation is not true.