From 9d7df7770d10bcfbd42a72f1aa99beda237c14c9 Mon Sep 17 00:00:00 2001 From: zleyyij Date: Mon, 29 Jan 2024 10:22:52 -0700 Subject: [PATCH] vault backup: 2024-01-29 10:22:52 --- education/math/Logarithms.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/education/math/Logarithms.md b/education/math/Logarithms.md index c9c594f..53a5360 100644 --- a/education/math/Logarithms.md +++ b/education/math/Logarithms.md @@ -35,7 +35,7 @@ $$ log_5 y = 2 $$$$log_5(yz) = log_5 y + log_5 z $$$$ 2 + 3 = 5 $$ Exponents can be moved to the front of a logarithm $$ log_3 x^5 = 5*log_3 x $$ Roots are just the inverse, so: -$$ log_3 sqrt(x) = \frac{1}{2}*log_3x $$ +$$ log_3 \sqrt x = \frac{1}{2}*log_3x $$ ## Change of base $$ log_b x = \frac{\log x}{\log b} = \frac{\ln x}{\ln b} $$ The above are all equivalent because the ratios are the same