Question #6452212Fill 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
To solve an exponential equation, if the bases are the same, we can set the exponents equal to each other. Here, both sides of the equation can be expressed with the same base (9).
To solve an exponential equation, if the bases are the same, we can set the exponents equal to each other. Here, both sides of the equation can be expressed with the same base (9).
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
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
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!