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the answer is log((x-2)^2)

log [(x - 2)^2 ] 

Step-by-step explanation:

3 log(x - 2) + log (x + 2) - log (x^2 - 4)

= log (x - 2)^3 + log ( x + 2) - log (x^2 - 4)

= log [ (x - 2)^3 (x + 2) / (x^2 - 4) ]

= log (x - 2)^3 (x + 2) / (x - 2)(x + 2)]

= log [(x - 2)^2 ] 

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

78.59 is the mean

step-by-step explanation: