Question

3的x次方=4的y次方=36，求：2y+x/xy的值

Answer 1

3的x次方=4的y次方=36
xlg3=lg36
1/x=lg3/lg36
ylg4=lg36
1/y=lg4/lg36
2y+x/xy
=2/x+1/y
=2lg3/lg36+lg4/lg36
=(lg9+lg4)/lg36
=lg36/lg36
=1

Answer 2

3^x=36 则x=lg36/lg3 4^y=36 则 y=lg36/lg4
(2y+x)/xy=2/x+1/y=2*lg3/lg36+lg4/lg36=(lg9+lg4)/lg36=lg36/lg36=1