SOLUTION: Find the inverse of this function: f(x)=log(2x)+3 Here's what I've done. I'm not sure what to do next: x-3=log (2y) log (x-3)= log (2y)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the inverse of this function: f(x)=log(2x)+3 Here's what I've done. I'm not sure what to do next: x-3=log (2y) log (x-3)= log (2y)      Log On


   

Question 708220: Find the inverse of this function:
f(x)=log(2x)+3
Here's what I've done. I'm not sure what to do next:
x-3=log (2y)
log (x-3)= log (2y)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the inverse of this function:
f(x)=log(2x)+3
interchange x and y
x=log(2y)+3
log(2y)=x-3
convert to exponential form: base(10) raised to log of number(x-3)=number(2y)
10^(x-3)=2y
y^-1=10^(x-3)/2