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Solve for x 5^x = 324 Round your answer to four decimals.

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kristenmarieb... | Student, Grade 10 | Valedictorian

Posted August 17, 2013 at 12:26 AM via web

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Solve for x

5^x = 324

Round your answer to four decimals.

2 Answers | Add Yours

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted August 17, 2013 at 1:00 AM (Answer #1)

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`5^x = 324`

Take log on both sides

`log(5^x) = log324`

`xlog5 = log324`

`x = log324/log5`

`x = 3.5918`

So the answer is x = 3.5918

Sources:

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Wiggin42 | TA , Grade 11 | Valedictorian

Posted June 29, 2014 at 8:44 PM (Answer #2)

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5^x = 324

Here the x is in the exponent so we have to the opposite operation which is logs. Take the log of both sides: 

log(5^x) = log324

One neat property of logs is that in this form, the exponent can be written as multiplication: 

xlog5 = log324

x = log324/log5

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