log17x=10017为底数x为真数log1.7y=1001.7为底数y为真数求1/x-1/y=?

Question

log17 x=100 17为底数 x为真数 log1.7 y=100 1.7为底数 y为真数求1/x-1/y=?

Answer 1

x=17^100,y=1.7^100=(17/10)^100 1/x-1/y =1/17^100-10^100/17^100 =(1-10^100)/17^100