Here are the essential concepts you must grasp in order to answer the question correctly.
Logarithms
A logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number? For example, in the expression log_b(a), b is the base, and a is the number. Understanding logarithms is essential for evaluating expressions like log2 64.
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Base of a Logarithm
The base of a logarithm indicates the number that is raised to a power. In the expression log2 64, the base is 2. This means we are looking for the exponent to which 2 must be raised to equal 64. Recognizing the base helps in determining the relationship between the logarithm and its corresponding exponential form.
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Exponential Form
Exponential form expresses a number as a power of a base. For instance, 64 can be expressed as 2^6, meaning 2 raised to the power of 6 equals 64. This relationship is crucial for evaluating logarithmic expressions, as it allows us to convert between logarithmic and exponential forms to find the solution.
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