નિશ્વાયક — ગણિત ધોરણ 12 સાયન્સ — Question

$\begin{vmatrix}\log_32^{10}&\log_23^3\\\log_22^3&\log_23^2\end{vmatrix}\times\begin {vmatrix}\log_23&\log_43\\\log_34&\log_34\end{vmatrix}$

$\because\left(\log_{a^n} x^m=\frac{m}{n}\log_ax\right)$

$=[10(\log_32\times\log_32)-3\times\frac{1}{3}(\log_32\times\log_2 3)]$

$\times[\log_23\times2\log_32-\log_43\times\log_34]$

=$[10-1][2-1]$

=$9\times1$

=$9$