There exist positive integers A, B and C with no common factors greater than 1, such that 1, such that `A log_(200) 5+ B log_(200) 2=C` The sum `A + B+ C` equals

Show that log_(b)a log_(c)b log_(a)c=1

How many pairs of positive integers (a,b) are there such that a and b have no-common factor greater than 1 and (a)/(b)+14(b)/(a) is aa integer:

a, b, c are positive integers froming an increasing G.P . whose common ratio is rational number, b - a is cube of natural number and log_(6)a + log_(6)b + log_(6)c = 6 then a + b + c is divisible by

log_(a)b xx log_(b)c xx log_(c) d xx log_(d)a is equal to

Let a , b , c , d are positive integer such that log_(a)b=3//2 and log_(c)d=5//4 . If a-c=9 , then value of (b-d) is equal to

a , b , c are positive integers formaing an incresing G.P. and b-a is a perfect cube and log_(6)a+log_(6)b+log_(6)c=6 , then a+b+c=

log_(a)b = log_(b)c = log_(c)a, then a, b and c are such that