i was going through my hw and got stuck on this question- and i haven't been able to figure how on earth to do it! does anyone have any ideas? this is really bugging me now.
if log2 x, (1 + log4 x), log8 4x are consecutive terms of a geometric sequence, determine the possible values of x.
all i know is the properties of a logarithm and the formula for a geometric sequence is tn= ar^(n-1). is it possible for me to use the concept of t2/t1= t3/t2, etc with logs? and how can i find x? i really dont have a clue and id be happy for any hints, advice or an answer.