<p>Hello, I am taking a trigonometry course and it is required we do some small

Question

<p>Hello, I am taking a trigonometry course and it is required we do some small algebra homework to get warmed up. I haven't been in Algebra in over a year and forgot how to properly solve this equation:<br /><br /><img src="https://s3.amazonaws.com/answer-board-image/cramster-equation-20113282346436343695280364517566970.gif" alt="" align="absmiddle" /></p>
<p>&#160;</p>
<p>The sign after the "3e" is meant to be the carrot sign on the calculator, so it is 3e to the 2x power.</p>
<p>Usually I don't ask for help on a site like this, but this one has me really confused.</p>
<p>Thanks in advance!</p>

Explanation / Answer

get rid of that 3 on the right by dividing both sides by 3
2=e^2x
take the natural log of both sides, that'll get rid of the exponent
ln2=2xlne
of course ln(e)=1
ln2=2x
so x=(ln2)/2

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