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If logb(27) = 3, what is the value of b?
Practice Questions
Q1
If logb(27) = 3, what is the value of b?
3
9
27
81
Questions & Step-by-Step Solutions
If logb(27) = 3, what is the value of b?
Steps
Concepts
Step 1: Understand the equation logb(27) = 3. This means that b raised to the power of 3 equals 27.
Step 2: Rewrite the equation in exponential form: b^3 = 27.
Step 3: To find b, we need to take the cube root of 27.
Step 4: Calculate the cube root of 27. The number that, when multiplied by itself three times, gives 27 is 3.
Step 5: Therefore, b = 3.
Logarithms
– Understanding the relationship between logarithms and exponents, specifically how to convert from logarithmic form to exponential form.
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