SOLUTION: Please help me solve this exponential equation. It must be expressed in terms of natural logarithms. I also need to know the decimal epproximation for the solution. The problem is:

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me solve this exponential equation. It must be expressed in terms of natural logarithms. I also need to know the decimal epproximation for the solution. The problem is:      Log On


   

Question 283578: Please help me solve this exponential equation. It must be expressed in terms of natural logarithms. I also need to know the decimal epproximation for the solution. The problem is:
+4%5E%283x%2B2%29=7%5E%28x-3%29+
Found 2 solutions by vleith, user_dude2008:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
+4%5E%283x%2B2%29=7%5E%28x-3%29+
%283x%2B2%29%2Aln4+=+%28x-3%29%2Aln7
%283x%2B2%29%2A1.3863+=+%28x-3%29%2A1.9459
expand both sides
collect like terms
then solve for x
Let me know if you can't get it

Answer by user_dude2008(1862) About Me  (Show Source):