+0  
 
0
653
2
avatar

How to use the log function 

 May 12, 2015

Best Answer 

 #1
avatar+297 
+8
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.
 May 12, 2015
 #1
avatar+297 
+8
Best Answer
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.
kes1968 May 12, 2015
 #2
avatar+27475 
+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)

.

 May 12, 2015

11 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.