Question #6444906Fill 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 by recognizing that both sides of the equation can be written with the same base. The key is to rewrite 64 as a power of 4.
This question tests the student's ability to solve exponential equations by recognizing that both sides of the equation can be written with the same base. The key is to rewrite 64 as a power of 4.
Key Concept Explanation
The core principle is that if two exponential expressions with the same base are equal, their exponents must be equal. Here, we need to express 64 as a power of 4.
The core principle is that if two exponential expressions with the same base are equal, their exponents must be equal. Here, we need to express 64 as a power of 4.
Step-by-step Solution
1. Rewrite 64 as a power of 4: .
2. Substitute this into the equation:
1. Rewrite 64 as a power of 4: .
2. Substitute this into the equation:
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