log4³×log9²+以4为底4次根号下对数
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 05:36:47
![log4³×log9²+以4为底4次根号下对数](/uploads/image/z/1088423-71-3.jpg?t=log4%26%23179%3B%C3%97log9%26%23178%3B%2B%E4%BB%A54%E4%B8%BA%E5%BA%954%E6%AC%A1%E6%A0%B9%E5%8F%B7%E4%B8%8B%E5%AF%B9%E6%95%B0)
log4³×log9²+以4为底4次根号下对数
log4³×log9²+以4为底4次根号下对数
log4³×log9²+以4为底4次根号下对数
用换底公式log(a)b=[log(c)b]/[log(c)a]就可以化简了
将上式都换成以10为底的对数就行了
log4³×log9²+后面的看不懂(期望追问)
log4³×log9²=[(lg3)/(lg4)]×[(lg2)/(lg9)]=[(lg3)/(2lg2)]×[(lg2)/(2lg3)]=1/4