
Logarithmic and Exponential Equations
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
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 power to which a number (the base) must be raised to obtain another number. For example, log_b(a) = c means b^c = a.
Tags
CCSS.HSF.BF.B.5
2.
FLASHCARD QUESTION
Front
What is the relationship between exponential and logarithmic functions?
Back
Exponential functions can be rewritten in logarithmic form. For example, if b^y = x, then log_b(x) = y.
Tags
CCSS.HSF.BF.B.5
3.
FLASHCARD QUESTION
Front
How do you convert an exponential equation to logarithmic form?
Back
To convert an exponential equation of the form b^y = x to logarithmic form, write it as log_b(x) = y.
Tags
CCSS.HSF.BF.B.5
4.
FLASHCARD QUESTION
Front
What is the value of log_3(81)?
Back
4, because 3^4 = 81.
5.
FLASHCARD QUESTION
Front
How do you solve for x in the equation 2^x = 8?
Back
x = 3, because 2^3 = 8.
Tags
CCSS.HSF.BF.B.5
6.
FLASHCARD QUESTION
Front
What is the logarithmic form of the equation 6^x = 64?
Back
log_6(64) = x.
Tags
CCSS.HSF.BF.B.5
7.
FLASHCARD QUESTION
Front
What is the value of log_9(3)?
Back
1/2, because 9^(1/2) = 3.
Tags
CCSS.HSF.BF.B.5
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