M math321 New member Joined Nov 18, 2010 Messages 9 Nov 19, 2010 #1 this is the last question i got to do need some help urgently Solve the equation. (16/9)^(x-1) = (3/4)^(x-1)
this is the last question i got to do need some help urgently Solve the equation. (16/9)^(x-1) = (3/4)^(x-1)
M math321 New member Joined Nov 18, 2010 Messages 9 Nov 19, 2010 #2 reach as far as here WHERE DO I GO FROM HERE
W wjm11 Senior Member Joined Nov 13, 2004 Messages 1,417 Nov 19, 2010 #3 Solve the equation. (16/9)^(x-1) = (3/4)^(x-1) Click to expand... (16/9)^(x-1) = (9/16)^-(x-1) = (9/16)^(1-x) = ((3/4)^2)^(1-x) = (3/4)^(2(1-x)) (3/4)^(2(1-x)) = (3/4)^(x-1) 2(1-x) = (x-1) 2-2x = x-1 3 = 3x x = 1
Solve the equation. (16/9)^(x-1) = (3/4)^(x-1) Click to expand... (16/9)^(x-1) = (9/16)^-(x-1) = (9/16)^(1-x) = ((3/4)^2)^(1-x) = (3/4)^(2(1-x)) (3/4)^(2(1-x)) = (3/4)^(x-1) 2(1-x) = (x-1) 2-2x = x-1 3 = 3x x = 1
