Question #6452197Fill in the Blank
Algebra-2
Question
If , find the value of . The value of is _______.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of the change of base formula and solving for unknowns in logarithmic equations.
This problem assesses the understanding of the change of base formula and solving for unknowns in logarithmic equations.
Key Concept Explanation
The change of base formula allows us to express a logarithm in terms of another base. Here, we need to solve for in a logarithmic equation.
The change of base formula allows us to express a logarithm in terms of another base. Here, we need to solve for in a logarithmic equation.
Step-by-step Solution
1. Use the change of base formula to express in terms of base 2:
2. Simplify :
3. Substitute this back into the equation:
1. Use the change of base formula to express in terms of base 2:
2. Simplify :
3. Substitute this back into the equation:
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