SOLUTION: log base 4 of 16= log base 4 of 1/256= log base 4 of 1/16=

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Question 379220: log base 4 of 16=
log base 4 of 1/256=
log base 4 of 1/16=
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2C+%2816%29%29
Once you understand what a logarithm is, these problems become pretty easy. Logarithms are exponents. The specific logarithm, log%284%2C+%2816%29%29, is the exponent for 4 that results in 16. So we ask ourselves, what power of 4 is 16? Or 4 to what power is 16? The answer: 2! So:
log%284%2C+%2816%29%29+=+2

log%284%2C+%281%2F16%29%29
What power of 4 is 1/16? If you understand negative exponents then you will understand that if 4%5E2+=+16 then 4%5E%28-2%29+=+1%2F16. So:
log%284%2C+%281%2F16%29%29+=+-2

log%284%2C+%281%2F256%29%29
I will leave this one up to you. Hint: 4%5E4+=+256.