Question #6452347Fill in the Blank
Algebra-2
Question
Solve the equation . The value of is _________.
Answer & Analysis
Analysis
Question Analysis
This problem tests the student's ability to solve a logarithmic equation with a negative exponent and verify the domain.
This problem tests the student's ability to solve a logarithmic equation with a negative exponent and verify the domain.
Key Concept Explanation
The key concept is the conversion of a logarithmic equation to its exponential form and the importance of checking the domain of the logarithmic function.
The key concept is the conversion of a logarithmic equation to its exponential form and the importance of checking the domain of the logarithmic function.
Step-by-step Solution
1. Convert the logarithmic equation to its exponential form: .
2. Calculate the exponential term: .
3. Solve for :
1. Convert the logarithmic equation to its exponential form: .
2. Calculate the exponential term: .
3. Solve for :
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