Solve the following exponential equation

Question

5^2-x=7^5x+7

Answer 1

5 ^ 2 = 25

7 ^ 5 = 16,807

5 ^ 2 - x = 7 ^ 5 x + 7

25 - x = 16,807 x + 7 Add x to both sides

25 - x + x = 16,807 x + 7 + x

25 = 16,808 x + 7 Subtract 7 to both sides

25 - 7 = 16,808 x + 7 - 7

18 = 16,808 x Divide both sides by 16,808

18 / 16,808 = 16,808 x / 16,808

18 / 16,808 = x

2 * 9 / ( 2 * 8,404 ) = x

9 / 8,404 = x

x = 9 / 8,404

Answer 2

If you mean,
5^(2-x) = 7^(5x + 7)
Then, we take the ln of both sides
(2-x)*ln(5) = (5x + 7)*ln(7)
1.609*(2-x) = 1.946*(5x+7)
Solving for x,
x = -0.9174

Hope this helps :3