Question

find x, if 9*3^x=(27)^2x-3​

Answer 1

Answer:

x = 11/5

Step-by-step explanation:

=> 9×3^x = (27) ^(2x -3)

=> 3×3^x = ( 3) ^3(2x-3)

=> 3^2 × 3^x = ( 3 ) ^(6x-9)

mᵃ * mᵇ = mᵃ⁺ᵇ

=> 3^(2+x)= 3^(6x-9)

if mⁿ = mˣ, then n = x

therefor, 2+x = 6x-9

x-6x = -9-2

-5x = -11

x = 11/5