Question

A student solved log4(2x – 12) = 3, as shown. Which did you include in your answer?

Answer 1

Answer:

x = 38

Step-by-step explanation:

using the law of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$, hence

$log_{4}$(2x - 12) = 3 ⇒ 2x - 12 =  $4^{3}$ = 64

add 12 to both sides

2x = 76 ( divide both sides by 2 )

x = 38