3 years ago

How to expand this logarithm?

1 answer:

5 0

There is a division symbol, division is subtracted. Are you sure you have the problem stated clearly?
<span> $ln( \frac{-5m-3}{ \sqrt{-4m-7} } )\\ \\ ln(-5m-3) - ln( (-4m-7)^{1/2} ) \\ \\ Power Rule \\ \\ ln(-5m-3) - \frac{1}{2} ln(-4m-7)$

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If P(AnB)=2/3 and P(B)=3/4, what is P(A I B)? A.35/36 B.15/16 C.24/25 D.8/9

astraxan [27]

Answer:

$\large\boxed{D.\ \dfrac{8}{9}}$

Step-by-step explanation:

$\text{We know:}\\\\P(A|B)=\dfrac{P(A\ \cap\ B)}{P(B)}\\\\\text{We have:}\\\\P(A\ \cap\ B)=\dfrac{2}{3},\ P(B)=\dfrac{3}{4}.\\\\\text{Substitute:}\\\\P(A|B)=\dfrac{\frac{2}{3}}{\frac{3}{4}}=\dfrac{2}{3}:\dfrac{3}{4}=\dfrac{2}{3}\cdot\dfrac{4}{3}=\dfrac{8}{9}$