- #1

- 3,269

- 5

Solve for x give exact for\\

$\log{(x-10)}-\log{(x-6)}=\log{2}$

$\begin{array}{rrll}

\textsf{subtraction rule} &\log\left(\dfrac{x-10}{x-6}\right)&=\log{2} \\

\textsf{drop logs} &\dfrac{x-10}{x-6}&=2 \\

&x-10&=2(x-6)=2x-12\\

\textsf{isolate x} &2&=x

\end{array}$

hopefully ok but?

quess we could just put all the logs on r side and set em to zero