SOLUTION: Use common or natural logarithms to solve the exponential equation symbolically. 2e^(6x+3)=4

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Question 752558: Use common or natural logarithms to solve the exponential equation symbolically. 2e^(6x+3)=4
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Use natural logs to solve:
2e%5E%286x%2B3%29+=+4 Divide both sides by 2.
e%5E%286x%2B3%29+=+2 Take the natural log of both sides.
ln%28e%5E%286x%2B3%29%29+=+ln%282%29 Apply the power rule for logarithms to the left side.
%286x%2B3%29ln%28e%29+=+ln%282%29 Substitute ln%28e%29+=+1
6x%2B3+=+ln%282%29 Subtract 3 from both sides.
6x+=+ln%282%29-3 Divide both sides by 6.
x+=+%28ln%282%29-3%29%2F6%29 Evaluate.
x+=+-0.3844