Question #6452359Fill 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 by converting them into exponential form and solving for the variable.
This problem assesses the ability to solve logarithmic equations by converting them into exponential form and solving for the variable.
Key Concept Explanation
The key concept is the conversion of a logarithmic equation to an exponential equation. For a logarithmic equation of the form , it can be converted to the exponential form .
The key concept is the conversion of a logarithmic equation to an exponential equation. For a logarithmic equation of the form , it can be converted to the exponential form .
Step-by-step Solution
1. Convert the logarithmic equation to its exponential form: .
2. Solve the resulting quadratic equation: , so
1. Convert the logarithmic equation to its exponential form: .
2. Solve the resulting quadratic equation: , so
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