Question

Find \[\log_{x ^{5}} y \times \log_{y} x ^{2}\] where x, y > 0

Answer 1

logx5 y=1/logy x^5
logy x^5=5 logy x
and also logy x^2=2logy x
so when they multiply togther
2logy x/5 logy x=2/5

Answer 2

Thank you