设3a=4b=36,则2/a+1/b=_.

问题描述:

设3a=4b=36,则

2
a
+
1
b
=______.

∵3a=4b=36,∴a=

lg36
lg3
b=
lg36
lg4
,∴
2
a
+
1
b
=
2lg3
lg36
+
lg4
lg36
=
lg(32×4)
lg36
=1.
故答案为1.