Any help would be greatly appreciated, thanks
2007-11-22 09:45:06 · 7 answers · asked by ms_lotr_freak 3 in Science & Mathematics ➔ Mathematics
log[2](16)= a number X which is answer to 2 ^ X =16
(where ^ X means raise to power X)
but we know (you can calculate it easily) that
2 ^ 0 = 1
2 ^ 1= 2
2 ^ 2= 2*2=4
2 ^3= 2*2*2=8
2^4=2*2*2*2=16
hence log[2](16)=4
2007-11-22 09:50:04 · answer #1 · answered by cd4017 4 · 0⤊ 0⤋
4
2007-11-22 11:04:43 · answer #2 · answered by nike s 2 · 0⤊ 0⤋
Log(base2) 16 = n
2^n = 16
2^n = 2^4
n = 4
2007-11-22 09:49:48 · answer #3 · answered by Marvin 4 · 0⤊ 0⤋
since 16 = 2^4 power and a log is asking you to find what power of the base gives you its number, then the answer is 4
2007-11-22 09:48:55 · answer #4 · answered by Linda K 5 · 0⤊ 0⤋
From
log_b (a) = x
means
a = b^x
Now
16 = 2^4
so
log_2 (16) = 4
2007-11-22 09:50:15 · answer #5 · answered by vlee1225 6 · 0⤊ 0⤋
log_2 2^4 = 4log_2 2=4
2007-11-22 09:47:16 · answer #6 · answered by norman 7 · 0⤊ 0⤋
you should probably try doing you hw yourself before asking...ask if your answer is right, not if others can do your hw for you.
2007-11-22 09:47:37 · answer #7 · answered by shrutifruity88 3 · 0⤊ 1⤋