diff --git a/education/math/Logarithms.md b/education/math/Logarithms.md
index 47b5fb1..a656033 100644
--- a/education/math/Logarithms.md
+++ b/education/math/Logarithms.md
@@ -1,4 +1,13 @@
  https://www.youtube.com/watch?v=sULa9Lc4pck
 
-$$log_a $$
-Pronounced log *base* a, this function is used to figure out 
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+$$log_a(b) $$
+Pronounced log *base* a, this function is used to figure out what exponent you need to raise $a$ to to get $b$.
+
+$log_ab = c$ can be rewritten as $a^c = b$.
+
+$$ 5^{log_5^(x+2)}=x+2 $$
+By default, $log$ refers to $log_{10}$. $ln$ is shorthand for $log_e$. 
+
+$$ \sqrt{x} = x^{1/2} $$
+To get the reciprocal of a value, change the sign of the exponent.
+$$ x = 
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