SOLUTION: A compute manufacturer finds that when x millions of dollars are spent on research, the profit, P(x), in millions of dollars is given by P(x) = 20 + 5log(base 3)(x+3). How much sho

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: A compute manufacturer finds that when x millions of dollars are spent on research, the profit, P(x), in millions of dollars is given by P(x) = 20 + 5log(base 3)(x+3). How much sho      Log On


   

Question 1153080: A compute manufacturer finds that when x millions of dollars are spent on research, the profit, P(x), in millions of dollars is given by P(x) = 20 + 5log(base 3)(x+3). How much should be spent on research to make a profit of 49 million dollars.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A compute manufacturer finds that when x millions of dollars are spent on research, the profit, P(x), in millions of dollars is given by
P(x) = 20 + 5log(base 3)(x+3).
How much should be spent on research to make a profit of 49 million dollars.
20+%2B+5%2Alog%283%2C%28x%2B3%29%29+=+49
5%2Alog%283%2C%28x%2B3%29%29+=+49+-+20
5%2Alog%283%2C%28x%2B3%29%29+=+29
log%283%2C%28x%2B3%29%29+=+29%2F5
log%283%2C%28x%2B3%29%29+=+5.8
Exponent equiv of logs
%28x%2B3%29+=+3%5E5.8
use your calc
x + 3 = 585.2
subtract 3 from both side
x = 582.2 million