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
How do you solve this equation? Does it contain log?
log a=0.16 and log b=-2.4. Find log ((sqrt(b))/(1000a)). After I expand it I'm not sure if it's a full number or if it contains log
1 Answer
- Anonymous1 decade agoFavorite Answer
Note that:
log[√b/(1000a)]
= log(√b) - log(1000a) <== Use log(a/b) = log(a) - log(b)
= log(√b) - [log(1000) + log(a)] <== Use log(ab) = log(a) + log(b)
= log(√b) - [3 + log(a)]
= log(√b) - log(a) - 3
= (1/2)log(b) - log(a) - 3 <== Use log(a^b) = b*log(a).
Then, using the given information, we see that:
log[√b/(1000a)] = (1/2)log(b) - log(a) - 3 = (1/2)(-2.4) - 0.16 - 3 = -4.36.
I hope this helps!