若(1/4)^x次方=4√2,则x等于?

问题描述:

若(1/4)^x次方=4√2,则x等于?

(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