Question

find the value of x for which 4 by 9 to the power 4 into 4 by 9 to the power minus 7 is equal to 4 by 9 to the power 2 x minus 1​

Answer 1

Answer:

-1

Step-by-step explanation:

Here,

(4/9)⁴ * (4/9)⁻⁷ = (4/9)²ˣ⁻¹

⇒ (4/9) ⁴⁺⁽⁻⁷⁾ = (4/9)²ˣ⁻¹      [As xᵃ * xᵇ = xᵃ⁺ᵇ]

⇒ (4/9)⁻³ =  (4/9)²ˣ⁻¹

⇒ -3= 2x -1                       [As, if xᵃ = xᵇ ⇒ a=b]  

⇒ x = -1.

Answer.

Answer 2

answer is = -1

Hope it will help you