If 2log x base a = log x base b + log x base c where a, b, c>0 and not equal to 1 then which of the following holds (x≠1) A) c² = (bc) ^log a base c B) a = bc(log b base c)C) b²= bc)^ log a base c D) a²= bc
Nikhil , 8 Years ago
Grade 11
1 Answers
Aditya Gupta
Last Activity: 6 Years ago
by logarithmic identities we can write
2/loga= 1/logb+1/logc (all bases in x)
2/loga= log(bc)/(logblogc)
or loga= (logblogc2)/logbc
logc2=logbc*loga(baseb)
now raising power of x both sides
c^2= (bc)^loga(baseb)
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.