Question #6452216Fill in the Blank
Algebra-2
Question
Solve the equation . The value of is __________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to solve exponential equations by recognizing and manipulating bases.
This problem assesses the student's ability to solve exponential equations by recognizing and manipulating bases.
Key Concept Explanation
To solve the equation , we need to express both sides with the same base. Since can be written as , the equation becomes . By setting the exponents equal, we can solve for .
To solve the equation , we need to express both sides with the same base. Since can be written as , the equation becomes . By setting the exponents equal, we can solve for .
Step-by-step Solution
1. Rewrite the right-hand side of the equation as an exponential expression with the same base as the left-hand side:
1. Rewrite the right-hand side of the equation as an exponential expression with the same base as the left-hand side:
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