Question

2log(11/13)+2log(130/33)-log(4/9)

Answer 1

2log(11/13) + 2log(130/33) - log(4/9)

= 2log(11/13) + 2log(130/33) - log[ (3/2)^(-2) ]  {Use log(a^k) = klog(a) }

= 2log(11/13) + 2log(130/33) + 2log(3/2)

= 2log(11/13 x 130/33 x 3/2) { Use log(a) + log(b) = log(ab) }

= 2log(5)