已知y=log(3/4)x当x=8根号3/9时y的值是多少
问题描述:
已知y=log(3/4)x当x=8根号3/9时y的值是多少
答
3-(x-1)/3=7-(x+3)/5
两边乘15
45-5x+5=105-3x-9
5x-3x=45+5-105+9
2x=46
x=46÷2
x=23
413615646881362165416541
答
8√3/9
=2^3*3^1/2÷3^2
=2^3*3^(-3/2)
=3^(-3/2)/2^(-3)
=3^(-3/2)/4^(-3/2)
=(3/4)^(-3/2)
所以原式= log3/4[(3/4)^(-3/2)]=-3/2