Logarithms is one of the most commonly tested topics in CAT exam. This topic plays a pivotal role in your CAT preparation. Questions from Logarithms have appeared consistently for several years in CAT exam. In this question from the given equation, you have to find the value of the unknown variable Y. CAT Logarithms and Exponents is a favorite in CAT Exam, with every extra hour you log in for this topic, it becomes exponentially simpler.
Question 5 : If log4 5 = (log4 y) (log6 โ5), then y equals
log45 = log4y ร log6โ5
log45 รท log4y = logy5 = log6โ5 = k (Letโs assume this as k)
6k = โ5 ---> On squaring this {6k}2 = 5
log45 = log4y ร log6โ5
logy5 = log6โ5
logy5 = k
yk = 5
{6k}2 = yk = 5
{62}k = yk
36k = yk
y = 36.
The question is "If log4 5 = (log4 y) (log6 โ5), then y equals"
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