SOLUTION: Hello, I need help with this problem: Solve logarithmic equation log(3x+15)=2 and write 5 lnx + 1/2 lny - 4 lnz as a single logarithm. Thank you very much.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hello, I need help with this problem: Solve logarithmic equation log(3x+15)=2 and write 5 lnx + 1/2 lny - 4 lnz as a single logarithm. Thank you very much.      Log On


   



Question 454991: Hello, I need help with this problem:
Solve logarithmic equation log(3x+15)=2 and write 5 lnx + 1/2 lny - 4 lnz as a single logarithm.
Thank you very much.

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Solve logarithmic equation log(3x+15)=2 and write 5 lnx + 1/2 lny - 4 lnz as a single logarithm.
.
log(3x+15)=2
(3x+15)= 10^2
3x+15= 100
3x = 85
x = 85/3 (exact answer)
x = 28.33 (approx decimal answer)
.
5 lnx + 1/2 lny - 4 lnz
lnx^5 + lny^(1/2) - lnz^4
ln x^5y^(1/2) - lnz^4
ln x^5y^(1/2)/z^4