SOLUTION: solve for x: 500e^0.3x=600

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Question 562635: solve for x:
500e^0.3x=600
Answer by issacodegard(60) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, first divide by 500:
e%5E%280.3x%29=6%2F5
Take the natural logarithm of both sides:
ln%28e%5E%280.3x%29%29=ln%286%2F5%29
Simplify considering that ln(x) and e^x are inverse functions:
0.3x=ln%286%2F5%29
So we have,
x=ln%286%2F5%29%2F0.3