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If log_x(4) = 2, what is the value of x?
Practice Questions
Q1
If log_x(4) = 2, what is the value of x?
2
4
8
16
Questions & Step-by-Step Solutions
If log_x(4) = 2, what is the value of x?
Correct Answer: 2
Steps
Concepts
Step 1: Understand the equation log_x(4) = 2. This means that x raised to the power of 2 equals 4.
Step 2: Rewrite the equation in exponential form: x^2 = 4.
Step 3: Solve for x by taking the square root of both sides: x = √4.
Step 4: Calculate the square root of 4, which is 2.
Step 5: Therefore, the value of x is 2.
Logarithmic Equations
– Understanding how to manipulate logarithmic equations to find the base or argument.
Exponential Form
– Converting logarithmic statements into exponential form to solve for unknowns.
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