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re
logarithmic inequalities
author
Andrew Lorimer
<andrew@lorimer.id.au>
Thu, 13 Sep 2018 00:40:59 +0000
(10:40 +1000)
committer
Andrew Lorimer
<andrew@lorimer.id.au>
Thu, 13 Sep 2018 00:40:59 +0000
(10:40 +1000)
methods/stuff.md
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diff --git
a/methods/stuff.md
b/methods/stuff.md
index 1eb560c269db297415fbaa3cd358a93f56666691..addaf9b2a57959320e9d7f040c5471fb540c4e63 100644
(file)
--- a/
methods/stuff.md
+++ b/
methods/stuff.md
@@
-15,3
+15,12
@@
$^n\sqrt{x}=x^{1/n}$
## Logarithms
$$\log_b (x) = n \quad \operatorname{where} \hspace{0.5em} b^n=x$$
## 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)
\ No newline at end of file