Question #6451892Fill in the Blank
Algebra-2
Question
Evaluate the logarithmic expression . The value is _________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to evaluate a logarithmic expression by converting it into an exponential form and solving for the exponent.
This problem assesses the ability to evaluate a logarithmic expression by converting it into an exponential form and solving for the exponent.
Key Concept Explanation
The logarithmic expression represents the exponent to which the base must be raised to obtain the argument . In this case, we need to find the exponent such that .
The logarithmic expression represents the exponent to which the base must be raised to obtain the argument . In this case, we need to find the exponent such that .
Step-by-step Solution
1. Let . According to the definition, convert it to the exponential equation ;
2. Express both 16 and 4 as powers of 2:
1. Let . According to the definition, convert it to the exponential equation ;
2. Express both 16 and 4 as powers of 2:
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