In this scale, the frequency of each C-note in vibrations per second is measured in Hz. It can be expressed as a power of 2, as shown. What is the frequency of the note C7 in exponential form and in logarithmic form?
C4, (middle C), 256 Hz
C5, 512 Hz
C6, 1024 Hz
Answers:
2^11= 2048 Hz; log2 2048 = 11
2^7= 2048 Hz; log 2048 = 7
2^4= 256 Hz; log2 256 = 4
2^10= 1024 Hz; log2 1024 = 10

Question

In this scale, the frequency of each C-note in vibrations per second is measured in Hz. It can be expressed as a power of 2, as shown. What is the frequency of the note C7 in exponential form and in logarithmic form?
C4, (middle C), 256 Hz
C5, 512 Hz
C6, 1024 Hz
Answers:
2^11= 2048 Hz; log2 2048 = 11
2^7= 2048 Hz; log 2048 = 7
2^4= 256 Hz; log2 256 = 4
2^10= 1024 Hz; log2 1024 = 10

mantar0078 · Answer

attachment

amedel · Answer

It looks like the frequency of each C is twice as great as that of the last. What would the frequency of C7 be?

mantar0078 · Answer

2048?

amedel · Answer

Yep, so are you familiar with the two forms you need to put that in?

mantar0078 · Answer

Which of these would it be then?
2^11= 2048 Hz; log2 2048 = 11
2^7= 2048 Hz; log 2048 = 7

mantar0078 · Answer

No, I'm not

amedel · Answer

Okay, so exponential is when you say:

a^b = c

That same relationship in logarithmic form is:

log a (c) = b     <-- Log base A of C is B

amedel · Answer

The logarithm as a function as the question: A to what power equals C, which in the example is answered by B

amedel · Answer

In your case you just need to figure out which of those equals 2048. Evaluate 2^7 and check it.

umerlodhi · Answer

They're correct!

mantar0078 · Answer

What's correct?