SOLUTION: Find y as a function of x if e to the y-C (y-c is the exponent) = x + 4 I got y = square root of x+4 + C - I don't know if this is right?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find y as a function of x if e to the y-C (y-c is the exponent) = x + 4 I got y = square root of x+4 + C - I don't know if this is right?      Log On


   

Question 35250This question is from textbook
: Find y as a function of x if e to the y-C (y-c is the exponent) = x + 4
I got y = square root of x+4 + C - I don't know if this is right? This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Try this:
e%5E%28y-c%29+=+x%2B4 Take the natural log of both sides.
ln%28e%5E%28y-c%29%29+=+ln%28x%2B4%29 Simplify; Apply the power rule.
%28y-c%29ln%28e%29+=+ln%28x%2B4%29 But ln%28e%29+=+1
y-c+=+ln%28x%2B4%29 Add c to both sides.
y+=+ln%28x%2B4%29%2Bc