求定义域 (1)y=log(2x-1为底)(4-x) (2)y=根号内log(2为底)(4x-3)

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求定义域 (1)y=log(2x-1为底)(4-x) (2)y=根号内log(2为底)(4x-3)

求定义域 (1)y=log(2x-1为底)(4-x) (2)y=根号内log(2为底)(4x-3)
求定义域 (1)y=log(2x-1为底)(4-x) (2)y=根号内log(2为底)(4x-3)

求定义域 (1)y=log(2x-1为底)(4-x) (2)y=根号内log(2为底)(4x-3)
1.
4-x>0,x0,且2x-1≠1
所以,
0.5

1.2x-1>0 →x>1/2
2x-1≠1 →x≠1
4-x>0 →x<4
∴1/2<x<4且x≠1
2.log(2为底)(4x-3)≥0 →4x-3≥1 →x≥1
4x-3>0 → x>3/4
∴x≥1