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If 3^(x) = 81, what is the value of x?
Practice Questions
Q1
If 3^(x) = 81, what is the value of x?
2
3
4
5
Questions & Step-by-Step Solutions
If 3^(x) = 81, what is the value of x?
Correct Answer: 4
Steps
Concepts
Step 1: Understand the equation 3^(x) = 81.
Step 2: Recognize that 81 can be expressed as a power of 3.
Step 3: Find the power of 3 that equals 81. We know that 3^(4) = 81.
Step 4: Since 3^(x) = 3^(4), we can set the exponents equal to each other.
Step 5: Therefore, x = 4.
Exponential Equations
– Understanding how to manipulate and solve equations involving exponents.
Base Conversion
– Recognizing that 81 can be expressed as a power of 3.
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