SOLUTION: 8. Solve the following equation. Please show all of your work. e^(x+8)=6 please help me!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 8. Solve the following equation. Please show all of your work. e^(x+8)=6 please help me!      Log On


   

Question 469361: 8. Solve the following equation. Please show all of your work.
e^(x+8)=6
please help me!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
e%5E%28x%2B8%29+=+6 Take the natural logarithm of both sides.
ln%28e%5E%28%28x%2B8%29%29%29+=+ln%286%29 Apply the "power rule" for logarithms to the left side.
%28x%2B8%29ln%28e%29+=+ln%286%29 On the left side, substitute ln%28e%29+=+1
%28x%2B8%29+=+ln%286%29 Subtract 8 from both sides.
x+=+ln%286%29-8 Evaluate.
highlight%28x+=+-6.20824%29 Approximately.