Question

if 2 /5 whole power 5 × 25 / 4 whole power 3 is equal to 5 / 2 whole power 3x-
2 then find the value of x​

Answer 1

Answer:

1

Step-by-step explanation:

(2/5)⁵ X  (25/4)³ = (5/2)∧3x-2

(2/5)⁵ x ((5/2)²)³ = (5/2)∧3x-2

1/(5/2)⁵ X (5/2)⁶ = (5/2)∧3x-2

(5/2)⁶⁻⁵ = (5/2)∧3x-2

(5/2)¹ =  (5/2)∧3x-2

when bases are same, powers are equal.

3x - 2 = 1

=> 3x = 3

=> x = 1