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

Question 379220: log base 4 of 16=
log base 4 of 1/256=
log base 4 of 1/16=
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Once you understand what a logarithm is, these problems become pretty easy. Logarithms are exponents. The specific logarithm, , 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:

What power of 4 is 1/16? If you understand negative exponents then you will understand that if then . So:

I will leave this one up to you. Hint: .

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