Question icon
Grade 11Algebra

If x y z are real number greater than 1 ans w is a positive real no.. If log w to the base x =244 , log w to the base y =40 and log w to base xyz =12 then log z to base w is equalto

Profile image of muktesh singh
12 Years agoGrade 11
Answers icon

1 Answer

Profile image of siddharth gupta
12 Years ago
use the reciprocal law to obtain the value of logwx,logwy and logwxyz to as 1/244,1/40 and 1/12.
now put logwxyz=log||x|+logw|y|+logw|z| to obtain logwz.here we have no use of modulus as x,y and z are positive.
with regards 
SIDDHARTH GUPTA