start exponential functions notes

diff --git a/methods/stuff.md b/methods/stuff.md
index 1eb560c269db297415fbaa3cd358a93f56666691..0424391542e8df6356a8396ac66ea823bfbc867c 100644 (file)
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+++ b/methods/stuff.md
@@ -1,4 +1,14 @@
-# random methods shit
+---
+geometry: margin=2cm
+<!-- columns: 2 -->
+graphics: yes
+tables: yes
+author: Andrew Lorimer
+classoption: twocolumn
+header-includes: \pagenumbering{gobble}
+---
+
+# Exponential and Index Functions
 
 ## Index laws
 
@@ -15,3 +25,19 @@ $^n\sqrt{x}=x^{1/n}$
 ## Logarithms
 
 $$\log_b (x) = n \quad \operatorname{where} \hspace{0.5em} b^n=x$$
+
+## Using logs to solve index eq's
+
+Used for equations without common base exponent
+
+Or change base:  
+$$\log_b c = {{\log_a c} \over {\log_a b}}$$
+
+If $a<1, \quad \log_{b} a < 0$ (flip inequality operator)
+
+## Exponential functions
+
+$e^x$ - natural exponential function
+
+
+$$\lim_{h \rightarrow 0} {{e^h-1} \over h}=1$$
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