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

Mathematics

1 answer:

siniylev [52]3 years ago

5 0

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

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