## Questions and Answers for Sum of Logarithms with the Same Base

Sum of Logarithms with the Same Base

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

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...