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
math homework help?
how in the world do I solve for 4(1.02)^x=3(1.03)^x
the answer is 29.4872
please help! I've been working on it forever now and it's stressing me out
1 Answer
- Marley KLv 77 years agoFavorite Answer
4(1.02)^x = 3(1.03)^x
take log of both sides and apply properties of logs to expand:
log4 + xlog(1.02) = log3 + xlog(1.03)
terms with x on the left, others on the right:
xlog(1.02) - xlog(1.03) = log3 - log4
factor out the x:
x(log1.02 - log1.03) = log3 - log4
divide:
x = (log3 - log4) / (log1.02 - log1.03)
calculate:
x ≈ 29.4872
that's it! ;)
