Question
Download Solution PDFWhich of the following statement is not correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
According to the given options
(1) log1010 = 1
Since, logaa = 1
So, log1010 = 1
It is correct.
(2) log (2 + 3) = log (2 × 3)
⇒ log(2 + 3) = 5
And, log(2 × 3) = log 6
⇒ log 2 + log 3
So, log (2 + 3) ≠ log (2 × 3)
It is not correct.
(3) log101 = 0
Since, loga1 = 0
So, log101 = 0
It is correct.
(4) log (1 + 2 + 3) = log 1 + log 2 + log 3
⇒ log(1 + 2 + 3) = log 6
⇒ log(1 × 2 × 3)
⇒ log1 + log2 + log3
So, It is correct.
∴ The required option (2) is correct.
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