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NDA 2010

Exam: NDA
Year: 2010
Subject: Mathematics
Chapter: Basics of Mathematics

NDA 2010 · Mathematics · Basics of Mathematics

What is the value of _ α β (H) _ α β γ (H) ?

What is the value of \frac{\log _{\sqrt{\alpha \beta}}(\mathrm{H})}{\log _{\sqrt{\alpha \beta \gamma}}(\mathrm{H})}$ ?

Options

A $\log _{\alpha \beta}(\alpha)$
B $\log _{\alpha \beta \gamma}(\alpha \beta)$
C $\log _{\alpha \beta}(\alpha \beta \gamma)$
D $\log _{\alpha \beta}(\beta)$

Correct answer

C. $\log _{\alpha \beta}(\alpha \beta \gamma)$

Step-by-step solution

\begin{aligned} & \frac{\log _e H}{\log (\alpha B)^{\frac{1}{2}}} \times \frac{\log (\alpha \beta \gamma)^{\frac{1}{2}}}{\log H} \\ & =\log \alpha \beta \gamma / \log \alpha \beta\end{aligned}

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