SOLUTION: Please help me solve this problem: 1.5e^-1.9x=1

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Question 199744: Please help me solve this problem:
1.5e^-1.9x=1
Answer by tutor_paul(427) About Me  (Show Source):
You can put this solution on YOUR website!
1.5e%5E%28-1.9x%29=1
.
First get the x term on one side of the equation:
e%5E%28-1.9x%29=1%2F1.5
.
Take the ln of both sides:
ln%28e%5E%28-1.9x%29%29=ln%281%2F1.5%29
.
Use the log property to simplify the left side and use your calculator on the right side:
-1.9x=-.405
.
Solve for x and you are done:
highlight%28x=0.2134%29
.
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Good Luck,
tutor_paul@yahoo.com