Arithmetic & Geometric Progression: show that log a , log b , and log c are consecuti

[samwel]

Arithmetic & Geometric Progression: show that log a , log b , and log c are consecuti

show that log a , log b , and log c are consecutive terms of arithmetic progression, then a , b , and c form consecutive geometric progression

 

[stapel]

show that log a , log b , and log c are consecutive terms of arithmetic progression, then a , b , and c form consecutive geometric progression

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

For instance, you started with the "if" part, being the assumption that the log terms are consecutive terms of an arithmetic progression with constant difference "d":

. . . . .log(b) = log(a) + d
. . . . .log(c) = log(b) + d
. . . . . . . . = log(a) + 2d

Where did this lead?

Please be complete. Thank you!