Question

If 4^x+2 = 2^x+7=.......?

Answer 1

Step-by-step explanation:

4^ (x+2) = 2^ (x+7)

=> 2^ {2(x + 2)} = 2^ (x+7)

We know that when bases are same, powers are equal.

Therefore, 2(x + 2) = (x + 7)

=> 2x + 4 = x + 7

=> 2x - x = 7 - 4

=> x = 3

So, 2 ^(x +7)

= 2^(3 + 7)

= 2^(10)

= 1024