Question #6444908Fill 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 expressing both sides with the same base. The key is to recognize that and 9 can both be written as powers of 3.
This question tests the student's ability to solve exponential equations by expressing both sides with the same base. The key is to recognize that and 9 can both be written as powers of 3.
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 and 9 as powers of 3.
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 and 9 as powers of 3.
Step-by-step Solution
1. Rewrite and 9 as powers of 3: and .
2. Substitute these into the equation:
1. Rewrite and 9 as powers of 3: and .
2. Substitute these into the equation:
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