SOLUTION: Could someone please help me I have a test and I need to pass it. Thanks!!!! Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Could someone please help me I have a test and I need to pass it. Thanks!!!! Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e.      Log On


   

Question 44274This question is from textbook college algebra gary rockswold
: Could someone please help me I have a test and I need to pass it. Thanks!!!!

Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown here:
log b a= log a
log b

Using this formula, find Log2 10000. Round your answer to the hundredth's place.
Answer:
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This question is from textbook college algebra gary rockswold

Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
logb%28a%29=%28logc%28a%29%29%2F%28logc%28b%29%29
Identify that a=10000, b=2.
log2%2810000%29=%28log10%2810000%29%29%2F%28log10%282%29%29
Using the "log" button on you calculator, type:
" log 10000 / log 2 ="
and you will get the answer 13.288 to the nearest hundredth.
using log base e;
log2%2810000%29=%28ln%2810000%29%29%2F%28ln%282%29%29
this will give the same result (13.288)
I hope this helps.
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk