(根号X)^(log5 (x-1))=5

问题描述:

(根号X)^(log5 (x-1))=5
注意是log5 (x-1) ,不是log5 (x) -1

(√x)^[log5 (x-1)]=1
x^[(1/2)log5 (x-1)]=1
x^log5 √(x-1)=1
x≠1
log5 √(x-1)=0
x-1=1
x=2