vault backup: 2024-01-23 10:33:22
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@ -20,7 +20,7 @@ There are 3 places you need to worry about domain.
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- There's no way to raise a number to an exponent and have it equal zero, or be a negative number.
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- There's no way to raise a number to an exponent and have it equal zero, or be a negative number.
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- This can be used to help solve inequalities, because you know an equation that's wrapped in a logarithm must be $> 0$.
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- This can be used to help solve inequalities, because you know an equation that's wrapped in a logarithm must be $> 0$.
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## Adding logarithms
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### Finding the domain of added logarithms
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$$ log(x+2) + log(2x-3) $$
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$$ log(x+2) + log(2x-3) $$
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With the above example, you can find the domain of each function separately, then find the overlap of valid numbers.
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With the above example, you can find the domain of each function separately, then find the overlap of valid numbers.
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