SOLUTION: Solve the exponential equation e^x+3=8: Express the solution as a natural logarithm.

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Question 153504: Solve the exponential equation e^x+3=8: Express the solution as a natural logarithm.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
e%5Ex%2B3+=+8 Subtract 3 from bth sides.
e%5Ex+=+5 Take the natural log of both sides.
ln%28e%5Ex%29+=+ln%285%29 Apply the power rule for logs to the left side: log%28M%5En%29+=+n%2Alog%28M%29
x%2Aln%28e%29+=+ln%285%29 Substitute ln%28e%29+=+1
x+=+ln%285%29