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

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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)   (Show Source): You can put this solution on YOUR website!

To find the inverse, interchange the positions of x and y and then solve for the new y, that'll be the inverse.




Answer by stanbon(75887)   (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)
-----
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.

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