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-   -   Converting a log equation to exponential equation (http://www.physicsforums.com/showthread.php?t=164769)

 wScott Apr8-07 11:10 PM

Converting a log equation to exponential equation

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.

 Gib Z Apr8-07 11:42 PM

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

 wScott Apr8-07 11:58 PM

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

 Gib Z Apr9-07 01:17 AM

http://www.physicsforums.com/showthr...65#post1297265

look at that one from now one.

 HallsofIvy Apr9-07 06:59 AM

Quote:
 Quote by wScott (Post 1297205) 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.
"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.

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