问题 解答题
计算
(1)log2[log3(log5125)]
(2)(2a
2
3
b
1
2
)(-6a
1
2
b
1
3
)÷(-3a
1
6
b
5
6
)
答案

(1)对于式子log2[log3(log5125)],需要一步一步求解,

因为:log5125=3,故原式=log2(log33)=log21=0.

故答案为0.

(2)对式子(2a

2
3
b
1
2
)(-6a
1
2
b
1
3
)÷(-3a
1
6
b
5
6
)=2×(-6)÷(-3)(a
2
3
a
1
2
÷a
1
6
)(b
1
2
b
1
3
÷b
5
6
)
=4a

故答案为4a.

判断题
单项选择题