Difference between revisions of "What is Log"

Revision as of 14:51, 1 October 2021

First law If $log_{a}x=n$ than $a^{n}=x$
Second law If $log_{A}+log_{B}=log_{(}AB)$
Thirde law If $log_{A}-log_{B}={log_{(}A \over B)}$
Fourth law If " ${log_{x}}^{log_{x}}={log_{x}}^{2}=n$ " than " ${log_{x}}={\sqrt[{2}]{n}}$ "

ex1: $log_{4}4=n$ find n.

$log_{a}x=n$ $a^{n}=x$

$4^{n}=4$

n=1

ex2: $log_{4}x=2$ find x.

$log_{a}x=n$

$a^{n}=x$

$4^{2}=x$

x = 16

ex3: $log_{a}25=2$ find x.

$log_{a}x=n$

$a^{n}=x$

$a^{2}=25$

a = 5

@@ Line 2: / Line 2: @@
 #First law If <math>log_a x = n </math> than <math>a^n = x </math>
 #Second law If <math>log_A + log_B = log_(AB)</math>
-#Thirde law If <math>log_A - log_B = log_(A \over B)</math>
+#Thirde law If <math>log_A - log_B = {log_(A \over B)}</math>
+#Fourth law If "<math>{log_ x}^{log_ x} = {log_ x}^2 = n </math>" than "<math>{log_ x} = \sqrt[2]{n} </math>"
 <noinclude>