Question

$\left| \begin{matrix} \log_{3}512 & \log_{4}3 \\ \log_{3}8 & \log_{4}9 \end{matrix} \right|$× $\left| \begin{matrix} \log_{2}3 & \log_{8}3 \\ \log_{3}4 & \log_{3}4 \end{matrix} \right|$=

• A. 7
• B. 10
• C. 13
• D. 17

Answer 1

Answer: (B)

10

Answer 2

$\left( \log_{3}512.\log_{4}9 - \log_{4}3.\log_{3}8 \right)$ ×$\left( \log_{2}3.\log_{3}4 - \log_{8}3.\log_{3}4 \right)$

= $\left( 9 - \frac{3}{2} \right)$ × $\left( 2 - \frac{2}{3} \right)$= $\frac{15}{2}$× $\frac{4}{3}$= 10