Logarithms¶
Log is opposite of "power of" something. Power of is called exponential, hence log is opposite of exponential.
$$ 10^3 = 1000 => \log_{10} 1000 = 3$$ $$ 2^3 = 8 => \log_2 8 = 3$$
Read as:
- log of 1000 to the base 10 is equal to 3,
- log 1000 base 10 is 3,
- log is choppped tree, so, if base is 10, you need 3 power to get 1000
- log 8 base 2 is 3; if base is 2, you need 3 power to get 8
- how many power do you need?
- if base is $b$, how many power you need to get $a$, that is, $x$?
- $\log_b a = x$
- $\log_{base} {number} = {power}$
2025-01-12
January 12, 2025