# Converting a log equation to exponential equation

1. ### wScott

88
1. The problem statement, all variables and given/known data
the question asks to graph the equation:
(don't know how to use latex sorry)
f(x) = log5 (x) + 3 where the 5 is the base
Just for my curiosity what would the exponential equation be?
I can graph it, just can't get the exponential form
Tell me if this should go in the general math section.

2. ### Gib Z

3,348
You already put it in the general math section lol, look there for the working.
$$5^{f(x)} = 125x$$

3. ### wScott

88
Can that be expressed as x=? and can you show me how you did that?

3,348
5. ### HallsofIvy

40,959
Staff Emeritus
"Solve" for x: y- 3= log5(x) so, using the definition of log5(x) as the inverse of 5x, x= 5y-3= (1/125)5y.