Question

if (16)^2x+3 =(64)^x+3,then 4^2x-2 =​

Answer 1

Answer:

256

Step-by-step explanation:

(16)^(2x+3) = (4²)^(2x+3) = 4^[2*(2x+3)] = 4^(4x+6)

(64)^(x+3) = (4³)^(x+3) = 4^[3*(x+3)] = 4^(3x+9)

∴ 4x+6 = 3x+9

∴ 4x-3x = 9-6

∴ x = 3

Replace 'x' in the below equation

4^2x-2 = 4^(2*3-2) = 4^(6-2) = 4^4 = 256