Question

can someone......anyone, please explain base conversion concept to me.

Answer 1

logarithmic change of base formula?

Answer 2

When \[\log_{a}M = x, a ^{x}=M \]
Taking the logarithm, to the base b, of both sides,
\[\log_{b}a ^{x}=\log_{b}M \]
\[x = \ \frac{\log_{b}M }{\log_{b}a } \]
Hence we arrive at the formula:
\[\log_{a}M = \ \frac{\log_{b}M }{\log_{b}a } \]

Answer 3

kyle does it help?

Answer 4

i dont understand. i know base 10, that is a typical base right

Answer 5

what is base 9?

Answer 6

base 10 is a typical base because it's the easiest to work if you want to evaluate other bases you can use your calculator for that. Change of base formula is used to make simplification of logs easier Let me give you an example

Answer 7

\[\log_{2}20 = \ \frac{\log_{10}20 }{\log_{10}2 } \ = \ \frac{{\log_{10}2 }+1}{\log_{10} 2} \]

Answer 8

When the base of a logarithm is 10 it's called a common logarithm and thus we have a table of common logarithms so log base 10 of 2 will be 0.3010

Answer 9

Changing the base to 10 makes it easier for us to calculate the result of:
(0.3010 + 1)/0.3010

Answer 10

please explain from a non log perspective. that is beyond what we are studying right now. for instance. what are the first 20 numbers of base 2 ?

Answer 11

Answer is 4.3223

Answer 12

I misunderstood the question then..sorry about that

Answer 13

np