Question

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

a. x = 0

b. x = 1

c. x = 0,1

d. There are no solutions.

Answer 1

logx + log(x+2) = log(3x)
log(x(x+2))= log(3x)
log(x^2+2x)= log(3x)
x^2+2x=3x
x^2-x=0
x(1-x)=0
x = 0,1