Write as the Sum And/or Difference of Logarithms $\log _ { 12 } \sqrt { \frac { \mathrm { rs } } { 13 } }$

question 184

Multiple Choice

Write as the sum and/or difference of logarithms. Express powers as factors.
- $\log _ { 12 } \sqrt { \frac { \mathrm { rs } } { 13 } }$

• A) \(\frac { 1 } { 2 } \log _ { 12 } \mathrm { rs } - \frac { 1 } { 2 } \log _ { 12 } 13\)
• B) \(\frac { 1 } { 2 } \log _ { 12 } \mathrm { r } + \frac { 1 } { 2 } \log _ { 12 } \mathrm {~s} - \log _ { 12 } 13\)
• C) \(\frac { 1 } { 2 } \log _ { 12 } \mathrm { r } \cdot \frac { 1 } { 2 } \log _ { 12 } \mathrm {~s} \div \frac { 1 } { 2 } \log _ { 12 } 13\)
• D) \(\frac { 1 } { 2 } \log _ { 12 } \mathrm { r } + \frac { 1 } { 2 } \log _ { 12 } \mathrm {~s} - \frac { 1 } { 2 } \log _ { 12 } 13\)

Apply knowledge of probability distributions to specific real-world examples.

Describe and compare theoretical perspectives on defining probability.

Calculate and interpret the expected value and variance for given probability distributions.

Evaluate the properties of different probability distributions when applied to empirical data.

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