Math Help - Log Issue

Hi, I am having a hard time solving for t using logarithms.

Equation is :

40000 + 2000t = 38500 (1.05)^t

Any help would be appreciated.

Thanks!

To solve this algebraically, you have to use the Lambert W function

Lambert W function - Wikipedia, the free encyclopedia

Here are some other examples where the Lambert W function is needed.
http://www.mathhelpforum.com/math-he...-equation.html
http://www.mathhelpforum.com/math-he...2-x-x-2-a.html
http://www.mathhelpforum.com/math-he...lving-eqn.html

Try searching Math Forum for other threads where the Lambert W function is needed.
Hope this helps. Have fun exploring the world of math.

thanks!