SOLUTION: What is the difference[s] in common logarithms.natural logarithms, and numerical logarithms

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: What is the difference[s] in common logarithms.natural logarithms, and numerical logarithms      Log On


   

Question 31804: What is the difference[s] in common logarithms.natural logarithms, and numerical logarithms
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+10%5E2+=+100+ --> +log%28100%29+=+2+
+10%5E3+=+1000+ --> +log%281000%29+=+3+
+10%5E4+=+10000+ --> +log%2810000%29+=+4+
+10%5E5+=+100000+ --> +log%28100000%29+=+5+

These are logs to base 10...possibly your "common logs"?

We can do logs to any base. The following are logs to base2... written by me as log_2:
+2%5E2+=+4+ --> +log_2%284%29+=+2+
+2%5E3+=+8+ --> +log_2%288%29+=+3+
+2%5E4+=+16+ --> +log_2%2816%29+=+4+
+2%5E5+=+32+ --> +log_2%2832%29+=+5+

Now one particular number is 2.7182818284590.... is a number that goes on forever...has no end, so how can we write it? Well, we give it a "name", calling it e.

When the log base is the number e, these are called natural logs, since a lot of things in nature follow the mathematical curve of y=e%5Ex

Natural logs are written as ln, eg ln(10) = 2.302585...

Hope this helps.

jon.