Question

log4 5×log5 6×log6 49×log7 32

Answer 1

$log_45*log_56*log_649*log_732=\\=frac{lg5}{lg4}* frac{lg6}{lg5}* frac{lg49}{lg6}* frac{lg32}{lg7}=\\= frac{lg7^2*lg2^5}{lg2^2*lg7}= frac{2*5*lg7*lg2}{2*lg2*lg7}=5$