We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
171
1
avatar+83 

I need to find the inverse of this problem 

f(x)=3^x-1

 

After doing my maths, I got an answer of

f^-1(x)=log3(x)+1

 

Thank you so much to whoever assists me with this topic

 Jan 16, 2019
 #1
avatar+104026 
+1

Let's write

 

y = 3^(x - 1)       take the log of both sides

 

log y = log 3^(x - 1)

 

log y = (x - 1)log 3

 

log y / log 3 = x - 1

 

 [ log y / log 3 ] + 1   = x            swap x and y

 

[ log x / log 3 ]   + 1   = y   =   the inverse

 

 

cool cool cool

 Jan 16, 2019

7 Online Users

avatar