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Solve for x. e^x = 20 (Instead of a log on each side, do an ln on each side.) Give...

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kristenmarieb... | Student, Grade 10 | Valedictorian

Posted August 29, 2013 at 12:50 AM via web

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Solve for x.

e^x = 20

(Instead of a log on each side, do an ln on each side.)

Give your answer to four decimals.

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted August 29, 2013 at 12:55 AM (Answer #1)

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Solve `e^x=20` to four decimal places:

`e^x=20`

`ln(e^x)=ln(20)`  where ln is the natural logarithm, or `log_(e)`

`xln(e)=ln20`  Using `loga^b=bloga`

x=ln20 since the natural log of e is 1

`x~~2.995732274`  (from a calculator)

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`x~~2.9957`

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