SOLUTION: e^2x+5=8 -->solving for X...using logs Thank you!!!

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Question 595474: e^2x+5=8
-->solving for X...using logs



Thank you!!!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
e%5E%282x%29%2B5+=+8 Subtract 5 from both sides.
e%5E%282x%29+=+3 Take the natural log of both sides.
ln%28e%5E%282x%29%29+=+ln%283%29 Apply the "power rule" for logarithms to the left side.
2xln%28e%29+=+ln%283%29 Substitute ln%28e%29+=+1
2x+=+ln%283%29 Divide by 2.
x+=+%28ln%283%29%29%2F2