From 474971a20349f71a479335aaa88c1df364997184 Mon Sep 17 00:00:00 2001 From: zleyyij Date: Tue, 23 Jan 2024 10:17:28 -0700 Subject: [PATCH] vault backup: 2024-01-23 10:17:28 --- education/math/Logarithms.md | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) diff --git a/education/math/Logarithms.md b/education/math/Logarithms.md index 81780b4..d0c8d0e 100644 --- a/education/math/Logarithms.md +++ b/education/math/Logarithms.md @@ -22,4 +22,15 @@ There are 3 places you need to worry about domain. ## Adding logarithms $$ log(x+2) + log(2x-3) $$ -With the above example, you can find the domain of each function separately, then find the overlap of valid numbers. \ No newline at end of file +With the above example, you can find the domain of each function separately, then find the overlap of valid numbers. + + +# Expanding logarithms +$$ log_b(x*y) = log_b x + log_b y $$ +$$log_b(\frac{x}{y}) = log_b x - log_b y $$ + +Example Problem: +$$ log_5 z = 3 $$ +$$ log_5 y = 2 $$$$log_5(yz) = log_5 y + log_5 z $$$$ 2 + 3 = 5 $$ +Exponents can be moved to the front of a logarithm +$$ log_3 x^5 = 5*log_3 x $$