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# What is log 4 16

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How to use the log function

May 12, 2015

#1
+342
+8
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: .
May 12, 2015

#1
+342
+8
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: .
kes1968 May 12, 2015
#2
+30038
+5

If you use the calculator on this site, you can type in log(16,4) to get the log to base 4 of 16.  More generally, to get log to base b of x type in log(x,b)

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May 12, 2015