Question

log5(250)/log50(5)-log5(10)/log1250(5)=

Answer 1

$frac{log_5250}{log_{50}5}-frac{log_510}{log_{1250}5}=log_5250*log_550-log_510*log_5 1250=\ =(2+log_510)(1+log_510)-log_510(3+log_510)=\ =2+2log_510+log_510+log_5^210-3log_510-log_5^210=2$