From 9ba7e355697af26d38d2ce82dd1422276e39930b Mon Sep 17 00:00:00 2001 From: zleyyij Date: Tue, 23 Jan 2024 10:38:22 -0700 Subject: [PATCH] vault backup: 2024-01-23 10:38:22 --- education/math/Logarithms.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/education/math/Logarithms.md b/education/math/Logarithms.md index 04174a8..997c1ef 100644 --- a/education/math/Logarithms.md +++ b/education/math/Logarithms.md @@ -13,12 +13,12 @@ $$ \sqrt{x} = x^{1/2} $$ To get the reciprocal of a value, change the sign of the exponent. $$ x^{-1} = \frac{1}{x} $$ ## Domain -There are 3 places you need to worry about domain. +There are 3 places you need to worry about domain. The third is specific to logarithms. - You can't divide by 0 - You can't take the square root of a negative without complex numbers - You cannot take the $log$ of a zero, or a negative number. - There's no way to raise a number to an exponent and have it equal zero, or be a negative number. - - This can be used to help solve inequalities, because you know an equation that's wrapped in a logarithm must be $> 0$. + - This can be used to help solve inequalities, because you know *an equation that's wrapped in a logarithm must be $> 0$*. ### Finding the domain of added logarithms $$ log(x+2) + log(2x-3) $$