# Question #8ed27

Mar 25, 2017

$x = - 200$

#### Explanation:

Given: $4 {\log}_{3} \left(43 - x\right) = 20$

Divide both sides by 4:

${\log}_{3} \left(43 - x\right) = 5$

Make logarithm disappear by making both sides the exponent of 3:

$43 - x = {3}^{5}$

Compute ${3}^{5}$

$43 - x = 243$

Subtract 43 from both sides:

$- x = 200$

$x = - 200$