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If log_a(b) = c, which of the following is equivalent?
If log_a(b) = c, which of the following is equivalent?
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Practice Questions
1 question
Q1
If log_a(b) = c, which of the following is equivalent?
a^c = b
b^c = a
c^a = b
b^a = c
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The definition of logarithms states that if log_a(b) = c, then a raised to the power of c equals b, hence a^c = b.
Questions & Step-by-step Solutions
1 item
Q
Q: If log_a(b) = c, which of the following is equivalent?
Solution:
The definition of logarithms states that if log_a(b) = c, then a raised to the power of c equals b, hence a^c = b.
Steps: 4
Show Steps
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.
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