Answer
(a) $\log3 (x-2)=\log x$
(b) $3(x-2)=x$
(c) $x=3$
Work Step by Step
(a) First, we combine the logarithms on the LHS to get the equivalent equation ___$\log3 (x-2)=\log x$___.
(b) Next, we use the fact that log is one-to-one to get the equivalent equation ___$3(x-2)=x$___.
(c) Now we find ___$x=3$___.