2/5^x=0.08
solve for x

x= 2

Step-by-step explanation:

1. Determine the defined range

2/5x = 0.08

2. Multiply both sides of the equation by 5 to the power of x

 2= 0.08 x 5x

3. Swap the sides of the equation

0.08 = 5x = 2

4. Divide both sides by 0.08

5x = 25

5. write the number in exponential form with the base of 5

5x = 5 to the power of 2

6. Since the bases are the same, set the exponents equal

x=2