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If log_a(4) = 2, what is the value of a?
Practice Questions
Q1
If log_a(4) = 2, what is the value of a?
2
4
8
16
Questions & Step-by-Step Solutions
If log_a(4) = 2, what is the value of a?
Correct Answer: 2
Steps
Concepts
Step 1: Understand the equation log_a(4) = 2. This means that 'a' raised to the power of 2 equals 4.
Step 2: Rewrite the equation in exponential form: a^2 = 4.
Step 3: Solve for 'a' by taking the square root of both sides: a = √4.
Step 4: Calculate the square root of 4, which is 2.
Step 5: Conclude that the value of 'a' is 2.
Logarithmic Equations
– Understanding how to manipulate logarithmic equations to find the base.
Exponential Relationships
– Recognizing the relationship between logarithms and exponents.
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