Converting a log equation to exponential equation

[wScott]

Homework Statement

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.

 

[Gib Z]

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

 

[wScott]

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

 

[Gib Z]

https://www.physicsforums.com/showthread.php?p=1297265#post1297265

look at that one from now one.

 

[HallsofIvy]

Homework Statement

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.

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