SOLUTION: 6^(x+3)=230 in terms of natural logarithms

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 6^(x+3)=230 in terms of natural logarithms      Log On


   

Question 630330: 6^(x+3)=230 in terms of natural logarithms
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6%5E%28x%2B3%29=230

ln%286%5E%28x%2B3%29%29=ln%28230%29

%28x%2B3%29ln%286%29=ln%28230%29

x%2B3=ln%28230%29%2Fln%286%29

x=ln%28230%29%2Fln%286%29-3

So the solution is x=ln%28230%29%2Fln%286%29-3

Note: You can rewrite that as

x=ln%28230%29%2Fln%286%29-3

x=ln%28230%29%2Fln%286%29-%283%2Aln%286%29%29%2Fln%286%29

x=%28ln%28230%29-3%2Aln%286%29%29%2Fln%286%29

--------------------------------------------------------------------------------------------------------------
If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
--------------------------------------------------------------------------------------------------------------