若(1/4)^x次方=4√2,则x等于?

网友回答

(1/4)^x = (1/2)^(2x) = 2^(-2x)
4√2 = 2^2 * 2^(1/2) = 2^(5/2)
所以 -2x=5/2
x=-5/4
======以下答案可供参考======
供参考答案1:
(1/4)^x=4√2
4^(-x)=2^(5/2)
2^(-2x)=2^(5/2)
-2x=5/2
x=-5/4