# How do you solve for x?: #log(x) + log(x-9) = 1#

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Combine the logarithmic terms, apply logarithmic properties, and solve for x:

[ \log(x) + \log(x-9) = 1 ]

[ \log(x \cdot (x-9)) = 1 ]

[ x \cdot (x-9) = 10 ]

[ x^2 - 9x - 10 = 0 ]

[ (x-10)(x+1) = 0 ]

[ x = 10 \text{ or } x = -1 ]

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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