Question

Which of the following is a solution to the equation log6 x + log6 (x – 1) = 1 ? Which of the following is a solution to the equation log6 x + log6 (x – 1) = 1 ? @Mathematics

Answer 1

x = 4

x = 6 / 5

x = 2

x = 3

Answer 2

\[\log_{a}x +\log_{a} y = \log_{a} x.y \] thats why it will be
\[\log_{6} x.(x-1) =1\]
x.(x-1) =6^1
x^2 - x =6
x^2-x-6=0 (x-3).(x+2)=0 x=3 or x=-2 so answer is x=3