And more Mathematics (logarithms)

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

Code:

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(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

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I attempted to put the resulting x value back into the following equation as a check
-75+(1/4)^x=0
and got the following answer on my check 2.14e-10

Yep, the work is right. And the value you got back checking is easily accounted for by rounding/truncating errors (10^-10 is negligible compared to the other quantities involved).

You work is correct. The different of 2.14e-10 is small enough to account for the rounding you did when you took x out of its exact form.

thanks for the confirmation.
slowly but surely i'm learning more skills for the code.
;0)