Question

解对数函数方程x^(log以2为底,x为真数)=32(x^4)

Answer 1

两边取以2为底的对数

log2 x^(log2 x)=log2 32x^4

(log2 x)*(log2 x)=log2 32+log2 x^4

(log2 x)^2=4log2 x+log2 2^5

(log2 x)^2-4log2 x-5=0

(log2 x-5)(log2 x+1)=0

log2 x=5,log2 x=-1

x=32,x=1/2