SOLUTION: e^(2x)=20

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Question 114264This question is from textbook
: e^(2x)=20 This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
e%5E%282x%29+=+20 Take the natural log of both sides.
ln%28e%5E%282x%29%29+=+ln%2820%29 Apply the power rule for logarithms to the left side (ln%28M%5Ep%29+=+p%2Aln%28M%29.
2x%2Aln%28e%29+=+ln%2820%29 Substitute: ln%28e%29+=+1
2x+=+ln%2820%29 Divide both sides by 2.
x+=+%28ln%2820%29%29%2F2 Evaluate with your calculator.
x+=+1.4979