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How do you condense #1/2 Log_ b3 +1/2 Log_bx - 3 Log_b Z#?

Answer 1

Ariana Alvarez

#=log_b3^(1/2)+log_bx^(1/2)-log_bz^3=log_b((3^(1/2)xxx^(1/2))/z^3)#

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Answer 2

Theodore Amidon

To condense the expression ( \frac{1}{2} \log_b3 + \frac{1}{2} \log_bx - 3 \log_b z ), you can combine the logarithms using the properties of logarithms. The condensed form is ( \log_b \left( \sqrt{3x} \right) - \log_b \left( z^3 \right) ).

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Answer from HIX Tutor

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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