" 8.If "3^(x)=5^(y)=(75)^(x)," show that "z=(xy)/(2x+y)

If 3^(x)=5^(y)=(75)^(z) show that z=(xy)/(2x+y)

If 3^x=5^y=(75)^z show that z=(xy)/(2x+y

if 3^(x)=5^(y)(75)^(z) then Z=

If 2^(x)=3^(y)=12^(z) show that xy=z(x+2y)

If (x^3+3xy^2)/(y^3+3x^2y)= 63/62 show that x:y = 3:2.

If (3x-5y)/5z+3y)=(x+5z)/(y-5x)=(y-z)/(x-z) then show that each ratio is x/y .

Show that: ((a^(x+1))/(a^(y+1)))^(x+y)\ ((a^(y+2))/(a^(z+2)))^(y+z)\ ((a^(z+3))/(a^(x+3)))^(z+x)=1

If x^(3)+y^(3)+z^(3)=3xyz and x+y+z=0, find the value of ((x+y)^(2))/(xy)=((y+z)^(2))/(yz) +((z+x)^(2))/(zx)