Question

If 2^a= 3 and 9^b= 4 then value of (ab) is-
(A) 1
(B)2
(C)3
(D) 4​

Answer 1

Answer:

(A) 1

Step-by-step explanation:

Given:

2^a= 3  …(1)

9^b= 4 …(2)

We can write LHS of equation (2) as:

9^b = (3^2)^b=3^(2b)

Now, using equation (1), we can write:

$3^{2b}=(2^a)^{2b}=2^{2ab}=(2^2)^{ab}$

Therefore, ab=1