SOLUTION: I'm trying to figure out the inverse of the function: y= 5^x/3. I know I need to switch the variables (e.g. x=5^y/3). I cubed each side of the equation to isolate the y exponent

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I'm trying to figure out the inverse of the function: y= 5^x/3. I know I need to switch the variables (e.g. x=5^y/3). I cubed each side of the equation to isolate the y exponent      Log On


   



Question 702779: I'm trying to figure out the inverse of the function: y= 5^x/3.
I know I need to switch the variables (e.g. x=5^y/3).
I cubed each side of the equation to isolate the y exponent.
Here's what I get: x^3=5^y.
What do I do next?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I'm trying to figure out the inverse of the function: y= 5^x/3.
I know I need to switch the variables (e.g. x=5^y/3).
I cubed each side of the equation to isolate the y exponent.
Here's what I get: x^3=5^y
3log(x) = y*log(5)
y = 3log(x)/log(5)
or y+=+log%28x%5E3%29%2Flog%285%29