Pianoman1996j

how do you solve 4e^2x=6

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Luigi0210

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Do you know how to get rid of the e?

Pianoman1996j

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\[4e^{2x}=6\]

Pianoman1996j

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no

Luigi0210

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Well first start off by dividing the 4 from both sides and that gives you..

Pianoman1996j

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\[e^{2x}={3/2}\]

jishan

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|dw:1368923110253:dw|

Luigi0210

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Good, now in order to get rid of the e we need to take the natural log of both sides. lne^2x=ln(3/2)
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This gives you:
2x=ln(3/2)
now divide both sides by two and that's your answer

jishan

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yeah bro.

Pianoman1996j

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Goot it. Thanks for your help, @Luigi0210

Luigi0210

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No Problem :P