**25^2x+3 = 25^5x-9**

**Answer:**

if 25^2x+3 = 25^5x-9 means 25^(2x+3)=25^(5x-9)

so the answer is log(25^(2x+3))=log(25^(5x-9)) {logarithm à base 25}

alors on obtient 2x+3=5x-9 donc x = 4

If 25^(2x + 3) = 25^(5x - 9), then 2x + 3 = 5x - 9. (The bases are the same, so the exponents have to be equal if the two quantities are equal. x = 4 when we solve the equation.