SOLUTION: Suppose the supply of x units of a product at price p dollars per unit is given by p=10+5ln(3x+1). How many units would be supplied when the price is $50 each?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Suppose the supply of x units of a product at price p dollars per unit is given by p=10+5ln(3x+1). How many units would be supplied when the price is $50 each?       Log On


   

Question 561185: Suppose the supply of x units of a product at price p dollars per unit is given by p=10+5ln(3x+1). How many units would be supplied when the price is $50 each?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+p+=+10+%2B+5%2Aln%28+3x+%2B+1+%29+
+50+=+10+%2B+5%2Aln%28+3x+%2B+1+%29+
+40+=+5%2Aln%28+3x+%2B+1+%29+
+8+=+ln%28+3x+%2B+1+%29+
+3x+%2B+1+=+e%5E8+
+3x+=+-1+%2B+e%5E8+
+x+=+%28+-1+%2B+e%5E8+%29%2F3+
Use a calculator to find +e%5E8+