2^(x+3) = (1/16)^(3-x)?

1 ⤊

2007-10-21 18:08:19 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2^(-4) = 1/16

(1/16)^(3-x)
= [2^(-4)]^(3-x)
= 2^[-4(3-x)]
= 2^(4x-12)

2^(x+3) = 2^(4x-12)
x+3 = 4x-12
3x = 15
x = 5

2007-10-21 18:14:01 · answer #1 · answered by gudspeling 7 · 0⤊ 0⤋

2^(x+3) = (1/16)^(3-x)

2^(x+3) = 2^(-4)^(3-x)

x+3=-12+4x
3x=15
x=5

2007-10-22 01:15:23 · answer #2 · answered by iyiogrenci 6 · 0⤊ 0⤋

I hope you're trying these questions on your own before asking!

2007-10-22 01:16:23 · answer #3 · answered by Josk 2 · 1⤊ 0⤋