Question #6452231Fill 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 exponential equations using substitution and factoring.
This problem assesses the ability to solve exponential equations using substitution and factoring.
Key Concept Explanation
The equation involves an exponential term with a variable in the exponent. By substituting a new variable, we can simplify the equation and solve it.
The equation involves an exponential term with a variable in the exponent. By substituting a new variable, we can simplify the equation and solve it.
Step-by-step Solution
1. Let . Then the equation becomes .
2. Factor the quadratic equation: .
3. Solve for : or .
4. Substitute back : or
1. Let . Then the equation becomes .
2. Factor the quadratic equation: .
3. Solve for : or .
4. Substitute back : or
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