Since 625 = 5⁴ you can write your equation as:
5^(2x-3y) = 625
5^(2x-3y) = 5⁴
The base is the same, so you can write:
2 x - 3 y = 4
Subtract 2 x zo both sides.
- 3 y = - 2 x + 4
Divide both sides by - 3
y = 2 / 3 x - 4 / 3
So your equation is equivalent to this equation of a straight line.
5^(2x-3y)=625
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