SOLUTION: Solve for x: {{{2e^(2x+3)-3=5}}}

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Question 130683: Solve for x:

2e%5E%282x%2B3%29-3=5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2e%5E%282x%2B3%29-3=5 Start with the given equation.


2e%5E%282x%2B3%29=8 Add 3 to both sides


e%5E%282x%2B3%29=4 Divide both sides by 2


2x%2B3=ln%284%29 Take the natural log of both sides. Doing this will eliminate the base "e"


2x=ln%284%29-3 Subtract 3 from both sides


x=%28ln%284%29-3%29%2F2 Divide both sides by 2