log2(x)=-2/3 logx(3+2根号2) 求x.
问题描述：
log2(x)=-2/3 logx(3+2根号2) 求x.
(1)log2(x)=-2/3(2)logx(3+2根号2)=-2。求x
答
(1)log2(x)=-2/3
x=2^(-2/3)
=2^(1/3-1)
=2^(1/3)/2
(2)logx(3+2根号2)=-2
x^(-2)=3+2√2
（1/x）²=（1+√2）²
1/x=1+√2
x=1/（1+√2）
x=√2-1