Question #6452229Fill 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 algebraic manipulation.
This problem assesses the ability to solve exponential equations using substitution and algebraic manipulation.
Key Concept Explanation
The equation involves an exponential term with a variable exponent. By substituting , the equation can be transformed into a simpler form, which can then be solved for and subsequently for .
The equation involves an exponential term with a variable exponent. By substituting , the equation can be transformed into a simpler form, which can then be solved for and subsequently for .
Step-by-step Solution
1. Let . Then .
2. Substitute into the equation: .
3. Simplify the equation: .
4. Solve for
1. Let . Then .
2. Substitute into the equation: .
3. Simplify the equation: .
4. Solve for
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