SOLUTION: Please help me solve this equation: 50e^-0.058x=100 Directions: find exact answer then round to four decimal places.

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Question 605777: Please help me solve this equation:
50e^-0.058x=100
Directions: find exact answer then round to four decimal places.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve this equation:
50e%5E%28-0.058x%29=100
divide both sides by 50
e%5E%28-0.058x%29=100%2F50
:
e%5E%28-0.058x%29=2
nat log of both sides
ln%28e%5E%28-0.058x%29%29=ln%282%29
log equiv of exponents
-.058x%2Aln%28e%29=ln%282%29
ln of e is 1, therefore
-.058x = ln(2)
x = ln%282%29%2F%28-.058%29; using a calc
x = -11.9508