SOLUTION: Would you help me? Thank you! Logarithm Write the inverse for the function of y+2=4^(x-1) in the form y=.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Would you help me? Thank you! Logarithm Write the inverse for the function of y+2=4^(x-1) in the form y=.       Log On


   

Question 356435: Would you help me? Thank you!
Logarithm
Write the inverse for the function of y+2=4^(x-1) in the form y=.
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y%2B2=4%5E%28x-1%29
To find the inverse, interchange the positions of x and y and then solve for the new y, that'll be the inverse.
highlight%28x%29%2B2=4%5E%28highlight%28y%29-1%29
log%284%2C%28x%2B2%29%29=y-1
highlight%28y%5Binv%5D=1%2Blog%284%2C%28x%2B2%29%29%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write the inverse for the function of
y+2=4^(x-1) in the form y=.
-----------------------------------
1st: Interchange x and y to get:
x + 2 = 4^(y-1)
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2nd: Solve for "y":
Take the log of both sides to get:
(y-1)*log(4) = log(x+2)
---
y-1 = [log(x+2)/log(4)]
----
y = [log(x+2)/log(4)] + 1
==========
That is the inverse.
============================
Cheers,
Stan H.