SOLUTION: just need some log help. stuck on all this. 1)41nx-31ny+21nz ---express as a single log 2)log3 x-log3(x-2)=1 3)expand log x^4y^5/square z

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: just need some log help. stuck on all this. 1)41nx-31ny+21nz ---express as a single log 2)log3 x-log3(x-2)=1 3)expand log x^4y^5/square z      Log On


   



Question 453201: just need some log help. stuck on all this.
1)41nx-31ny+21nz ---express as a single log
2)log3 x-log3(x-2)=1
3)expand log x^4y^5/square z

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
just need some log help. stuck on all this.
1)41nx-31ny+21nz ---express as a single log
2)log3 x-log3(x-2)=1
3)expand log x^4y^5/square z
..
1)41nx-31ny+21nz
ln(x^4)(z^2)/(y^3) (ans)
..
2)log3 x-log3(x-2)=1
log3(x/(x-2))=1
convert to exponential form: Base(3) raised to log of number(1)=number(x/(x-2))
3^1=x/(x-2)
x=3x-6
2x=6
x=3 (ans)
..
3)expand log x^4y^5/square z
4logx+5logy-2logz