Question

The value of $\frac{lo{g}_{3}5\times lo{g}_{25}27\times lo{g}_{49}7}{lo{g}_{81}3}$ is

• A. $1$
• B. $6$
• C. $\frac{2}{3}$
• D. $3$

Answer 1

The correct option is D $3$

$\frac{\left(\begin{array}{c}\frac{log5}{log3}\times \frac{3log3}{2log5}\times \frac{log7}{2log7}\end{array}\right)}{\left(\begin{array}{c}\frac{log3}{4log3}\end{array}\right)}=3\left[\begin{array}{c}\because lo{g}_{a}b=\frac{logb}{loga}\end{array}\right]$