Question #6452214Fill 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 using the same base.
This problem assesses the ability to solve exponential equations by recognizing and using the same base.
Key Concept Explanation
When solving an equation of the form , if the bases are the same, we can set the exponents equal to each other: .
When solving an equation of the form , if the bases are the same, we can set the exponents equal to each other: .
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.
Since , the original equation can be transformed into .
2. According to the same-base method, set the exponents equal: .
3. Solve the integral e...
1. Rewrite the right-hand side of the equation as an exponential expression with the same base as the left-hand side.
Since , the original equation can be transformed into .
2. According to the same-base method, set the exponents equal: .
3. Solve the integral e...
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