5) Express as a single logarithm. You do NOT need to expand the polynomials: 5 In(x - 2) + 8 In(x + 3) - 3 ln(x + 8)

5 ln(x - 2) + 8 ln(x + 3) - 3 ln(x + 8)

ln(x - 2)⁵ + ln(x + 3)⁸ - ln(x + 8)³

since (for any base c)

ln((x - 2)⁵ (x + 3)⁸ / (x + 8)³)

since and (also for any base c)

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

b

step-by-step explanation: