Question

2³ (5° +3²ⁿ) = 224 /27
Solve for n

Answer 1

Answer:

2^3 (1+3^2n) = 224/27

let 3^n = y

8+8y^2 = 224/27

27(8 + 8y^2) = 224

216 + 216y^2 = 224

216y^2 = 224 - 216

216y^2 = 8

y^2 = 8/216

y^2 = 1/27

y = 1/ root 27