已知3^x=4^y=36,求2y+x/xy的值.
问题描述:
已知3^x=4^y=36,求2y+x/xy的值.
答
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