Question #6451882Fill in the Blank
Algebra-2
Question
Evaluate the logarithmic expression . The value is _________.
Answer & Analysis
Analysis
Question Analysis
This problem tests the student's ability to evaluate logarithmic expressions by converting them into exponential form and using the properties of exponents.
This problem tests the student's ability to evaluate logarithmic expressions by converting them into exponential form and using the properties of exponents.
Key Concept Explanation
The logarithmic expression represents the exponent to which the base must be raised to obtain the argument . Here, 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 . Here, 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 as a power of 7:
1. Let . According to the definition, convert it to the exponential equation ;
2. Express as a power of 7:
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