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

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

算不出


(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