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Question

If 2log10x+1=log10250, then the value of log102x is equal to

A
9
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B
5
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C
11
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D
1
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Solution

The correct option is D 1
x>0
2log10x+1=log10250log10x2+log1010=log10250log1010x2=log10250Removing log10x2=250x2=25x=5
log102x=log10(2×5)=log1010=1

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