Question

Hii, i was absent today in my math class and I missed the whole lesson teacher signed us a classwork but I am totally confused please shows me how to start this question 14 I need help

Answer 1

Given:-

$\log (x-2)+\log (2x-3)=2\log x$

To find:-

Prove the above statement.

To prove the above statement we use the formula,

$\log a+\log b=\log ab$

So we get,

$\begin{gathered} \log (x-2)+\log (2x-3)=\log \lbrack(x-2)(2x-3)\rbrack \\ \text{ =log\lbrack{}2x}^2-3x-4x+6\rbrack \end{gathered}$

By simplyfying futhur we get,