Question

(27)^2x-1=(243)^3, then find the valie of 5^2x-4

Answer 1

Answer:

25

Step-by-step explanation:

(27)^2x-1=(243)^3

=> (3³)^2x-1 = (3⁵)³

=> (3)^6x-3 = 3¹⁵

=> 6x - 3 = 15  ( when bases are same powers are equal)

=> 6x = 18

=> x = 3.

Now 5^2x-4

= 5⁶⁻⁴

= 5²

= 25.