Inverse Function

[Kieran]

Find the inverse of y = log x ^a ? Log y = a log x , log x =logy/a , this is where I got stuck . Thanks.

 

[pka]

Find the inverse of y = log x ^a ? Log y = a log x , log x =logy/a , this is where I got stuck . Thanks.

It appears that you know very little about the logarithm function.

If \(\displaystyle y=\log(x^t)\) then \(\displaystyle e^y=x^t\)

 

[HallsofIvy]

Find the inverse of y = log x ^a ? Log y = a log x , log x =logy/a , this is where I got stuck . Thanks.

If y= log x^a then y= alog(x) NOT "log y". so y/a= log(x). Assuming that is the natural logarithm x= e^(y/a).