Question #6452368Fill in the Blank
Algebra-2
Question
Solve the equation . The value of is ________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to solve a logarithmic equation involving the product rule of logarithms.
This problem assesses the ability to solve a logarithmic equation involving the product rule of logarithms.
Key Concept Explanation
The product rule of logarithms states that . In this case, can be rewritten as .
The product rule of logarithms states that . In this case, can be rewritten as .
Step-by-step Solution
1. Combine the logarithms using the product rule:
2. Simplify the argument:
3. Convert the logarithmic equation to its exponential form:
4. Calculate the exponential term:
1. Combine the logarithms using the product rule:
2. Simplify the argument:
3. Convert the logarithmic equation to its exponential form:
4. Calculate the exponential term:
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