Log Properties
log(10^5)
5
log(3x)
log3+logx
logx-logy
log(x/y)
e^x=e^5
x=5
10 ln(e)
10
log((3z)/y)
log(3)+log(x)-log(y)
1/3logy-5logz
log(root(3)(y)/(z^5))
log(2x+1)=log(5)
x=2
log(100)-log(10)
1
log(sqrt(x)/y^2)
1/2log(x)-2logy
1/2logx+5logy-logz
log((5sqrt(x))/z)
log(4x)=2
x=25
log(10)-ln(e)
0
log(root(3)(x/y))
1/3logx-1/3logy
OR
1/3(logx-logy)
1/5logy+2logx-5logz
log((x^2root(5)(y))/z^5)
ln(5x-2)=15
(e^15+2)/5
6 log(100)-4ln(e)
8
log((sqrt(xy))/(5z^2))
1/2logx+1/2logy-log5-2logz
OR
1/2(logx+logy)-log5-2logz
5logx+2logy-1/4(log2-4logz)
log((x^5y^2)/root(4)(2z^4))
10^(2x+2)=1000
x=1/2