How to find an equality between 3 and 5 with a power greater than 1?

[summer shore]

Is there a way to find an equality between 3 and 5 in which the sum of the powers is equal to 59? I wanted to find a way to do it without doing it by hand. I need discover a values for the powers, for 3 and 5 to cancel each other out. (sorry the quality of the image)
Sorry for my lack of explanation, we can change the base, like the divisor base for 3 or 5, and the multiplier base for 3 and 5 too, I just need to find a way in which the result of the calculation is =225
just using 3 or 5 as a divisor and dividend in which the sum of the powers of the two is equal to 49

[grizzled knoll]

I don't understand the question. You just want an expression with 3s and 5s and exponents that add to 59 and it all equals 225?

So like $3^2 \cdot 5^2 \cdot \frac{5^x}{5^x}$?