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Please explain how log 2 + log 500 = 3.  I recently took a quiz and got this one...

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jaymemadonna | Student, Undergraduate | eNotes Newbie

Posted October 12, 2012 at 5:17 PM via web

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Please explain how log 2 + log 500 = 3.  I recently took a quiz and got this one wrong. My answer was 1000, thinking I would multipy 2 and 500.

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jgeertz | College Teacher | (Level 1) Associate Educator

Posted October 12, 2012 at 5:58 PM (Answer #1)

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log (2) + log (500)

Combine the logarithmic expressions using the product rule of logarithms.

log((2)(500))

Multiply 2 by 500 to 1000

log(1000)

The logarithm base 10 of 1000 is 3  **

log (2) + log (500) = 3

You just needed to do one more step!

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