Let's solve the logarithmic equation log(3) + log(x − 6) = log(x). First, we combine the logarithms on the LHS to get the equivalent equation

Answer 1

log(3) + log(x-6) = log(x)

log(3(x-6)) = log(x) By log multiply rule

Taking each side to the power of 10 cancels the logs.

3x-18 = x

2x = 18

x=9