Which of the following statements is not correct?

A    log10 10 = 1

B    log (2 + 3) = log (2 x 3)

C    log10 1 = 0

D    log (1 + 2 + 3) = log 1 + log 2 + log 3

Solution

Correct Answer: Option B

 

(a) Since loga a = 1, so log10 10 = 1.

(b) log (2 + 3) = log 5 and log (2 x 3) = log 6 = log 2 + log 3

So, log (2 + 3) ≠ log (2 x 3)

(c) Since loga 1 = 0, so log10 1 = 0.

(d) log (1 + 2 + 3) = log 6 = log (1 x 2 x 3) = log 1 + log 2 + log 3.

So, (b) is incorrect.

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