Question #6452221Fill in the Blank
Algebra-2
Question
Solve the equation . The value of x is _________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to solve exponential equations by converting both sides to the same base and then equating the exponents.
This problem assesses the ability to solve exponential equations by converting both sides to the same base and then equating the exponents.
Key Concept Explanation
The One-to-One Property of Exponents states that if (with , ), then .
This property is critical for simplifying exponential equations with identical bases, as it converts the equation from exponential form to a linear equation.
The One-to-One Property of Exponents states that if (with , ), then .
This property is critical for simplifying exponential equations with identical bases, as it converts the equation from exponential form to a linear equation.
Step-by-step Solution
1. Rewrite 36 as a power of 6: Since , we substitute to get
1. Rewrite 36 as a power of 6: Since , we substitute to get
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!