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What is the value of log279?

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Final answer:

The value of log2 79 is the exponent to which 2 must be raised to result in 79. It lies between 6 and 7, as 2^6 = 64 and 2^7 = 128, with the precise value obtainable using a calculator or logarithmic tables.

Step-by-step explanation:

The value of log279 is the power to which the number 2 must be raised to get 79. Logarithms can be challenging, but they follow specific rules that make it easier to understand their values. The value of log279 is not a simple, whole number, and unless you have access to a calculator, you'll need to estimate or refer to logarithmic tables for an approximate value.

For example, if we know that 26 = 64 and 27 = 128, we can say the value of log279 is between 6 and 7 because 79 is between 64 and 128. Since 79 is closer to 64 than to 128, the value would be closer to 6 but more than 6.

To determine the precise value, we would typically use a scientific calculator or a logarithmic function on a computer. However, referencing the given information about logarithms, such as the fact that the common logarithm of a number less than 1 has a negative value and the example where the logarithm of 0.03918 is -1.4069, we can infer how logarithms behave with different numbers.

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