What is the answer to (0.04)^{5x-x^2-8}=625 ?

The answer to (0.04)^{5x-x^2-8}=625 is x=3,x=2

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(0.04)^{5x-x^2-8}=625

(0.04)^{5 x - x^{2} - 8} = 625

x = 3, x = 2

Solution steps

(0.04)^{5 x - x^{2} - 8} = 625

(\frac{1}{25})^{5 x - x^{2} - 8} = 625

Apply exponent rules

- (5 x - x^{2} - 8) = 2

Solve

- (5 x - x^{2} - 8) = 2 : x = 3, x = 2

x = 3, x = 2

3 = 3^{2 x} - 3^{x} \cdot 2

1 0^{x} = 7000

5 + (3) 4^{x} - 1 = 12

((3^{x})^{2})^{2} = 1

0 (\frac{125}{8}) \cdot (\frac{125}{8})^{x} = (\frac{5}{2})^{18}

What is the answer to (0.04)^{5x-x^2-8}=625 ?
The answer to (0.04)^{5x-x^2-8}=625 is x=3,x=2
Solve for x: (0.04)^{5x-x^2-8}=625
The solution is x=3,x=2