SOLUTION: I am really stuck on how to answer this question, it says solve the following equation.. {{{ e^(x)=2e^(1-2x) }}} I have already tried making the eqaution equal to 0 and trying t

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Question 654518: I am really stuck on how to answer this question, it says solve the following equation..
I have already tried making the eqaution equal to 0 and trying to solve it, but i don't know how to, i also tried logging both sides but im not sure how to as both sides contain x and both have powers.
Thankyou

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
=
Divide both sides by 

 = 

Subtract exponents of e on the left, cancel on the right:

 = 

 = 2

 = 2

Use the principle that equation  is equivalent to the
equation A = ln(B) to rewrite the above as

3x - 1 = ln(2)

    3x = 1 + ln(2)

     x = 

     x ≈ 0.5643823935

Edwin

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