# Question #0dd83

Aug 21, 2015

$x = \frac{28}{3}$

#### Explanation:

$- \log 3 \left(x - 9\right) = 0$
$\log 3 \left(x - 9\right) = 0$
$R i g h t a r r o w 3 \left(x - 9\right) = 1$(since $\log 1 = 0$ regardless of base)
$x - 9 = \frac{1}{3}$
$x = \frac{28}{3}$

Aug 21, 2015

If the intended question is: Solve $- {\log}_{3} \left(x - 9\right) = 0$, then the solution is $x = 10$

#### Explanation:

$- {\log}_{3} \left(x - 9\right) = 0$ if and only if ${\log}_{3} \left(x - 9\right) = 0$

Change to exponential form: $\left(x - 9\right) = {3}^{0}$.

So $x - 9 = 1$, and $x = 10$.