Question

Prove that :
$\log \frac{9}{14}+\log \frac{35}{24}-\log \frac{15}{16}=0$

Answer 1

$=log3\times \frac{3}{7}\times 2$$+log7\times \frac{5}{4}\times 2\times 3$ $-log3\times$ $\frac{5}{4}\times 2\times 2$

$=log3+log3-log7-log2+log7+log5-log4-log2-log3-log3-log5+log4+log2+log2$

$=0$