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NDA 2013

Exam: NDA
Year: 2013
Subject: Mathematics
Chapter: Basics of Mathematics

NDA 2013 · Mathematics · Basics of Mathematics

What is the value of _y x^5 _x y^2 _z z^3 ?

What is the value of

\log _y x^5 \log _x y^2 \log _z z^3 ?

Options

A $10$
B $20$
C $30$
D $60$

Correct answer

C. $30$

Step-by-step solution

\log _y x^5 \cdot \log _x y^2 \cdot \log _z z^2=\frac{5 \ln x}{\ln y} \times \frac{2 \ln y}{\ln x} \times \frac{3 \ln z}{\ln z}=30

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