Question #6452201Fill 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 by recognizing and equating exponents.
This problem assesses the ability to solve exponential equations by recognizing and equating exponents.
Key Concept Explanation
To solve the equation , we need to express both sides with the same base. Since and , we can rewrite the equation as .
To solve the equation , we need to express both sides with the same base. Since and , we can rewrite the equation as .
Step-by-step Solution
1. Rewrite the bases: .
2. Simplify the left-hand side using the power of a power rule:
1. Rewrite the bases: .
2. Simplify the left-hand side using the power of a power rule:
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