Logs: Conversions to Exponentials and Vice Versa

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a logarithm?
Back
A logarithm is the exponent to which a base must be raised to produce a given number. For example, in the equation log_b(a) = c, b^c = a.
Tags
CCSS.HSF.BF.B.5
2.
FLASHCARD QUESTION
Front
Convert the exponential equation 5^2 = 25 to logarithmic form.
Back
log_5(25) = 2.
Tags
CCSS.HSF.BF.B.5
3.
FLASHCARD QUESTION
Front
What is the base of a logarithm?
Back
The base of a logarithm is the number that is raised to a power. In log_b(a), b is the base.
4.
FLASHCARD QUESTION
Front
Rewrite the logarithmic equation log_10(100) = 2 in exponential form.
Back
10^2 = 100.
Tags
CCSS.HSF.BF.B.5
5.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
The change of base formula states that log_b(a) = log_k(a) / log_k(b) for any positive k.
6.
FLASHCARD QUESTION
Front
Convert the logarithmic equation log_2(16) = 4 to exponential form.
Back
2^4 = 16.
Tags
CCSS.HSF.BF.B.5
7.
FLASHCARD QUESTION
Front
What does it mean if log_b(a) = c?
Back
It means that b raised to the power of c equals a.
Tags
CCSS.HSF.BF.B.5
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