Maria wrote the equation log(x/2)+log(20/x^2)=log8. what is the solution to maria's equation? a. x=3/10 b. x=4/5 c. x=5/4 d. x10/3

The solution is x=5/4.

We use the properties of logs to rewrite the equation:


Get all of the logs on the same side of the equation y subtracting log 8:


Use the properties of logs to rewrite:


Exponentiate:


Multiply both sides by 8x:
1*8x = (10/8x)*8x
8x=10

Divide both sides by 8:
8x/8 = 10/8
x = 10/8 = 5/4