SOLUTION: Hello! Thank you for your time. I've been trying to solve this for a week now. Solve for y. X=51n(7+3y)for y.

Algebra ->  Equations -> SOLUTION: Hello! Thank you for your time. I've been trying to solve this for a week now. Solve for y. X=51n(7+3y)for y.       Log On


   

Question 34490: Hello! Thank you for your time. I've been trying to solve this for a week now.
Solve for y.
X=51n(7+3y)for y.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for y:
x+=+%285%29ln%287%2B3y%29 First divide both sides by 5.
x%2F5+=+ln%287%2B3y%29 Convert to exponential form:
ln%28x%29+=+ymeanse%5Ey+=+x so for your problem:
ln%287%2B3y%29+=+x%2F5 means:
e%5E%28x%2F5%29+=+%287%2B3y%29 Subtract 7 from both sides.
e%5E%28x%2F5%29-7+=+3y Finally, divide both sides by 3.
y+=+%28e%5E%28x%2F5%29-7%29%2F3 ...and there you have it!