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

x = 38

Step-by-step explanation:

using the law of logarithms

• x = n ⇔ x = , hence

(2x - 12) = 3 ⇒ 2x - 12 =   = 64

add 12 to both sides

2x = 76 ( divide both sides by 2 )

x = 38

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

answer is 33

step-by-step explanation: