Question

If logp/2= logq/4=logr/8= k. And pqr =100 , then find the value of 'k'

Answer 1

logp/2=k which gives logp=2k logq/4=k which gives logq=4k logr/8=k which gives logr=8k adding we get logp+logq+logr=2k+4k+8k=14k i.e log pqr =14k i.e. log 100=14k i e. log 10^2 =14k i.e 2log 10 =14k i.e. 2=14k (since log 10 =1) i.e k=1/7