Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Algebra 2 help?
So I have this problem and it looks like this: 5 Log 2 - 2 Log 2. How would I solve this?
1 Answer
- llafferLv 75 years ago
5 log(2) - 2 log(2)
One rule of logs is that if you have a number multiplying a log, you can move that number inside the log as an exponent:
a log(x) = log(x^a)
So now we have:
log(2⁵) - log(2²)
The next rule is if you have the difference of two logs of the same base, it's the same as the log of the quotient:
log(x) - log(y) = log(x/y)
So turning this into a division, we get:
log(2⁵ / 2²)
And finally, the quotient of two numbers of the same base is the same as if you subtracted the exponents:
log(2³)
log(8)
