Question 167993
1.) 
2(log 2x-log y)-(log 3 + 2 log 5) 
2(log 2x-log y)-(log 3 + log 5^2)
2(log 2x-log y)-(log 3 + log 25)
2(log 2x/y)-(log 3*25)
log (2x/y)^2 - log 75
log (4x^2/y^2) - log 75
log (4x^2/y^2)/75
log (4x^2/75y^2)

2.) 350/(1+e to the negative x) = 300 : solve for x (not sure where to start) 
350/(1+e^(-x)) = 300
350 = 300(1+e^(-x))
350 = 300 + 300e^(-x)
50 = 300e^(-x)
50/300 = e^(-x)
5/30 = e^(-x)
1/6 = e^(-x)
ln(1/6) = -x
-1.7918 = -x
1.7918 = x



3.) "the fifth" log of (x+4) - "the fifth" log of x = 3
log5(x+4) - log5(x) = 3
log5[(x+4)/x] = 3
(x+4)/x = 5^3
(x+4)/x = 125
x+4 = 125x
4 = 124x
0.032 = x