Consider the following two statements :

Statement 1: log₅ 150 = log₅ 25 + log₅ 125

Statement 2: log_a (b + c) = log_a b + log_a c

Which of the following is valid?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and Statement 2 is false.

4. Statement 1 is false, and Statement 2 is true.

Assertion (A): log₂ 16 = 4.

Reason (R): log_a (bc) = log_a b + log_a c

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

Assertion (A): $log_{\sqrt{2}} 2^5$ = 10.

Reason (R): log _a^m bⁿ = $\dfrac{n}{m}$ log _a b.

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

Assertion (A): If log x = $\dfrac{\text{ log } 8}{\text{ log } 0.25}$, then x = -6.

Reason (R): If log _a b = log _a c, then b = c.

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).