Question #6452226Fill in the Blank
Algebra-2
Question
Solve the equation . The value of is __________.
Answer & Analysis
Analysis
Question Analysis
This problem involves solving an exponential equation by substitution and factoring.
This problem involves solving an exponential equation by substitution and factoring.
Key Concept Explanation
We can use a substitution method to simplify the equation. Let , then the equation becomes a quadratic equation in terms of .
We can use a substitution method to simplify the equation. Let , then the equation becomes a quadratic equation in terms of .
Step-by-step Solution
1. Substitute into the equation: .
2. Factor the quadratic equation: .
3. Solve for : or .
4. Substitute back to find : If , then . If
1. Substitute into the equation: .
2. Factor the quadratic equation: .
3. Solve for : or .
4. Substitute back to find : If , then . If
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