# 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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### 1 Answer

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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