vault backup: 2024-01-23 10:33:22

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zleyyij 2024-01-23 10:33:22 -07:00
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@ -20,7 +20,7 @@ There are 3 places you need to worry about domain.
- There's no way to raise a number to an exponent and have it equal zero, or be 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 $> 0$.
## Adding logarithms ### Finding the domain of added logarithms
$$ log(x+2) + log(2x-3) $$ $$ log(x+2) + log(2x-3) $$
With the above example, you can find the domain of each function separately, then find the overlap of valid numbers. With the above example, you can find the domain of each function separately, then find the overlap of valid numbers.