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If log_b(25) = 2, what is the value of b?
Practice Questions
Q1
If log_b(25) = 2, what is the value of b?
5
10
25
50
Questions & Step-by-Step Solutions
If log_b(25) = 2, what is the value of b?
Steps
Concepts
Step 1: Understand the equation log_b(25) = 2. This means that b raised to the power of 2 equals 25.
Step 2: Rewrite the equation in exponential form: b^2 = 25.
Step 3: To find b, take the square root of both sides of the equation: b = √25.
Step 4: Calculate the square root of 25, which is 5.
Step 5: Therefore, the value of b is 5.
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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