# How do you simplify #1/2 (log_bM + log_bN - log_bP)#?

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To simplify ( \frac{1}{2} (\log_bM + \log_bN - \log_bP) ), you use the properties of logarithms. The sum of logarithms is equal to the logarithm of the product, and the difference of logarithms is equal to the logarithm of the quotient. So:

( \frac{1}{2} (\log_bM + \log_bN - \log_bP) )

= ( \frac{1}{2} \log_b(M \times N \div P) )

= ( \log_b(\sqrt{MN \div P}) )

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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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