I was just wondering if someone can check my work on this problem.

I attempted to put the resulting x value back into the following equation as a checkCode:

(1/4)^x=75 //original equation

x log (1/4) = log 75 //take log of each side

x= log 75 / log (1/4) //divide by log (1/4)

x = -3.1144 //solve

-75+(1/4)^x=0

and got the following answer on my check 2.14e-10