log2(x-3)>1,则x的取值范围是?A(4,正无穷)B [4,正无穷)C(5,正无穷)D [5,正无穷)

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log2(x-3)>1,则x的取值范围是?A(4,正无穷)B [4,正无穷)C(5,正无穷)D [5,正无穷)

log2(x-3)>1,则x的取值范围是?A(4,正无穷)B [4,正无穷)C(5,正无穷)D [5,正无穷)
log2(x-3)>1,则x的取值范围是?
A(4,正无穷)
B [4,正无穷)
C(5,正无穷)
D [5,正无穷)

log2(x-3)>1,则x的取值范围是?A(4,正无穷)B [4,正无穷)C(5,正无穷)D [5,正无穷)
log2(x-3)>1
=>
x-3>2
x>5
选择C

C
∵log2(x-3)>1
∴x-3>2
∴x>5

由题意得 x-3>2
x-3>0
即x的取值范围时C(5,正无穷)。

log2(x-3)>1
log2(x-3)>log2(2)
x-3>2
x>5
C