Question

Solve : for ‘x’ (27/64)^2x+4= (256/81 )^3x−6

Answer 1

Step-by-step explanation:

let X be n due to my mobile but u write in the place of n X only

(27/64)²ⁿ+⁴=(256/81)³ⁿ-⁶

{(3/4)³}²ⁿ+⁴={(4/3)⁴}³ⁿ-⁶

(3/4)⁶ⁿ+¹²=(4/3)¹²ⁿ-²⁴

(3/4)⁶ⁿ+¹²=(3/4)^-(12n-24)

6n+12=-12n+24

6n+12n=24-12

18n=12

n=12/18

n=2/3