Which of the following statement is not correct?

Calculation:

According to the given options

(1) log₁₀10 = 1

Since, log_aa = 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, log_a1 = 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.