Solve the equation below for x: logx+log(x-2)=log(3x)

x=5

Step-by-step explanation:

Given equation is

Apply formula:

Since both sides have equal bases so we can drop the log

Which gives x=0 and x-5=0

or x=0 and x=5

Original problem is not defined at x=0 henc only x=5 is the final answer.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3