Question

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

Answer 1

x = 38

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