Assertion (A): log (2 + 3 + 4) = log 2 + log 3 + log 4

Reason (R): log _x x = 0

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

Given,

log (2 + 3 + 4) = log 2 + log 3 + log 4

Simplifying L.H.S,

⇒ log (2 + 3 + 4) = log (9)

Simplifying R.H.S,

⇒ log 2 + log 3 + log 4 = log (2 × 3 × 4) = log (24)

Since, L.H.S ≠ R.H.S

So, Assertion (A) is false.

⇒ log_x x = 1 and not zero.

So, Reason (R) is false.

Both A and R are false.

Hence, option 4 is the correct option.