Question

2^x divides 2^3-x = 2 , then x=
options (A) 1 (B) -1 (C) 2 (D) -2

Answer 1

Answer:

(C)

2 can be written as 2^1 in exponent form the equate the exponent on both sides

and we get answer ie. 2

Answer 2

W.K.T

${a}^{m} \div {a}^{n} = \: {a}^{m - n}$

= 2^(3-x) / 2^x = 2^1

= 2^(3-x-x) = 2^1

$if \: {a}^{m} = {a}^{n} then \: m = n$

= 3-x-x = 1

= 3-2x = 1

= -2x = -2

then x = 1

The Answer is option (A)