If n = 8 and 16 · 2^m = 4^(n – 8), then m = ? f. –4 g. –2 h. 0 j. 1 k. 8

16 · 2^m = 4^(n – 8)

get everything with the same base)

2^4 * 2^m = 2^2^(n-8)

2^(4+m) = 2^(2(n-8))

4+m = 2(n-8)

4+m =2n-16

m =2n-16-4

if n=8

m =2n-20

m =16-20

m=-4

Choice F

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x