对数运算的实例

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/15 18:03:34
对数运算的实例对数运算的实例对数运算的实例[log3(4)+log根下3(2)][log2(9)+log4(根3)]=[lg4/lg3+lg2/lg根下3][lg9/lg2+lg根3/lg4]=[2l

对数运算的实例
对数运算的实例

对数运算的实例
[log3(4)+log根下3(2)][log2(9)+log4(根3)]
=[lg4/lg3+lg2/lg根下3][lg9/lg2+lg根3/lg4]
=[2lg2/lg3+2lg2/lg3][2lg3/lg2+1/4lg3/lg2]
=4lg2/lg3*9/4lg3/lg2
=9

log3(4)+log3(2)][log2(9)+log4(3)]
=[lg4/lg3+lg2/lg3][lg9/lg2+lg3/lg4]
=[2lg2/lg3+lg2/lg3][2lg3/lg2+lg3/2lg2]
=3lg2/lg3*5lg3/2lg2
=15/2