Question #6444914Fill in the Blank
Algebra-1
Question
Solve the equation . The value of x is __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve exponential equations using the same base method. The problem involves recognizing that if two exponential expressions with the same base are equal, their exponents must be equal.
This question tests the student's ability to solve exponential equations using the same base method. The problem involves recognizing that if two exponential expressions with the same base are equal, their exponents must be equal.
Key Concept Explanation
The key concept here is that if , then . This principle is based on the injective (one-to-one) nature of the exponential function.
The key concept here is that if , then . This principle is based on the injective (one-to-one) nature of the exponential function.
Step-by-step Solution
1. Given the equation .
2. Since the bases are the same, set the exponents equal:
1. Given the equation .
2. Since the bases are the same, set the exponents equal:
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