SOLUTION: solve equation for x. 3e^(x+1) -2=0

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Question 586328: solve equation for x. 3e^(x+1) -2=0
Found 2 solutions by Tatiana_Stebko, solver91311:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
3e%5E%28x%2B1%29+-2=0
3e%5E%28x%2B1%29+=2 divide by 3
e%5E%28x%2B1%29+=2%2F3 take the log of both sides with the base e
ln%28e%5E%28x%2B1%29%29+=ln%282%2F3%29 Use the property ln%28a%5Eb%29=b%2Alna, then ln%28e%5E%28x%2B1%29%29=%28x%2B1%29%2Alne=%28x%2B1%29%2A1=x%2B1
x%2B1+=ln%282%2F3%29
x=ln%282%2F3%29-1

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Add 2 to both sides and multiply by



Take the natural log of both sides:



Use



and



and



to write:



John

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