Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Concept explainers

Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…
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Question
The provided image contains a mathematical expression represented as follows: \[ \log_{8} \left( \frac{12}{7} \right)^3 \] This expression involves a logarithm with base \(8\) of the fraction \(\frac{12}{7}\) raised to the power of \(3\). In the context of logarithms: - The base \(8\) indicates that we are working with logarithms in base \(8\). - The fraction \(\frac{12}{7}\) is the argument of the logarithm. - The exponent \(3\) indicates that the fraction \(\frac{12}{7}\) must be raised to the power of \(3\). Thus, this logarithmic expression can be broken down into smaller steps for simplification if needed, but as shown, it represents the logarithm of a fractional power.
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Transcribed Image Text:The provided image contains a mathematical expression represented as follows: \[ \log_{8} \left( \frac{12}{7} \right)^3 \] This expression involves a logarithm with base \(8\) of the fraction \(\frac{12}{7}\) raised to the power of \(3\). In the context of logarithms: - The base \(8\) indicates that we are working with logarithms in base \(8\). - The fraction \(\frac{12}{7}\) is the argument of the logarithm. - The exponent \(3\) indicates that the fraction \(\frac{12}{7}\) must be raised to the power of \(3\). Thus, this logarithmic expression can be broken down into smaller steps for simplification if needed, but as shown, it represents the logarithm of a fractional power.
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