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Question

If log10xlog10x=2log10x, then value of x is

A
1100 or 100
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B
± 2
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C
10 or 110
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D
100
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Solution

The correct option is C 1100 or 100
Given, log10xlog10x=2log10x
log10xx=2log10x
log10x=2log10x
12log10 x=2log10x
12(log10 x)2=2
(log10 x)2=4
log10 x=±2
x=10±2
x=100 or 1100
Hence, this is the answer.

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