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If log_a(b) = c, which of the following is equivalent?
Practice Questions
Q1
If log_a(b) = c, which of the following is equivalent?
a^c = b
b^c = a
c^a = b
b^a = c
Questions & Step-by-Step Solutions
If log_a(b) = c, which of the following is equivalent?
Steps
Concepts
Step 1: Understand the notation log_a(b) = c. This means 'a raised to the power of c equals b'.
Step 2: Rewrite the equation using the definition of logarithms. Change log_a(b) = c to a^c = b.
Step 3: Recognize that a^c is the same as saying 'a raised to the power of c'.
Step 4: Conclude that if log_a(b) = c, then the equivalent expression is a^c = b.
Logarithmic Definition
– Understanding that the logarithm log_a(b) = c means that a^c = b.
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