SOLUTION: Solve for x 4e^2x-3 = 4/e^9

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Question 681247: Solve for x

4e^2x-3 = 4/e^9
Answer by ReadingBoosters(3246) About Me  (Show Source):
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4e%5E2x-3+=+4%2Fe%5E9 where 4%2Fe%5E9+=+4e%5E-9
...
4*(2x-3)ln(e) = 4*-9*ln(e)
...
ln(e) = 1
4(2x-3) = 4(-9)
8x - 12 = -36
8x = -36 + 12
8x = -24
highlight_green%28x+=+-3%29
...
Check: 4e%5E%28%282%2A-3%29-3%29 which is 4e%5E-9+=+4%2Fe%5E9 CORRECT!!
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