Question #6452363Fill 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 logarithmic equations using the properties of logarithms, specifically the product rule.
This problem assesses the ability to solve logarithmic equations using the properties of logarithms, specifically the product rule.
Key Concept Explanation
The product rule states that . Using this, we can combine the logarithms and then convert the equation to exponential form.
The product rule states that . Using this, we can combine the logarithms and then convert the equation to exponential form.
Step-by-step Solution
1. Combine the logarithms:
2. Simplify the argument:
3. Convert to exponential form:
4. Calculate the exponential term:
5. Solve for
1. Combine the logarithms:
2. Simplify the argument:
3. Convert to exponential form:
4. Calculate the exponential term:
5. Solve for
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