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If log_4(x) = 1/2, what is the value of x?
Practice Questions
Q1
If log_4(x) = 1/2, what is the value of x?
2
4
8
16
Questions & Step-by-Step Solutions
If log_4(x) = 1/2, what is the value of x?
Correct Answer: 2
Steps
Concepts
Step 1: Understand that log_4(x) = 1/2 means that 4 raised to the power of 1/2 equals x.
Step 2: Rewrite the equation in exponential form: x = 4^(1/2).
Step 3: Calculate 4^(1/2). This means finding the square root of 4.
Step 4: The square root of 4 is 2.
Step 5: Therefore, x = 2.
Logarithmic Equations
– Understanding how to manipulate logarithmic equations to solve for the variable.
Exponential Functions
– Recognizing the relationship between logarithms and exponents.
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