Solving Exponential and Logarithmic Equations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
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, log_b(a) = c means b^c = a.
Tags
CCSS.HSF.BF.B.5
2.
FLASHCARD QUESTION
Front
Convert the logarithmic equation log_6(2x + 3) = 3 to exponential form.
Back
6^3 = 2x + 3.
Tags
CCSS.HSF.BF.B.5
3.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
log_b(a) = log_k(a) / log_k(b), where k is any positive number.
4.
FLASHCARD QUESTION
Front
Expand the expression: 6log_8(u) - 2log_8(v).
Back
This expression is already in expanded form.
5.
FLASHCARD QUESTION
Front
Solve for x: 3^(7x + 2) - 3 = 352,944.
Back
x = 4.
Tags
CCSS.HSF.LE.A.4
6.
FLASHCARD QUESTION
Front
What is the value of log_9(59049)?
Back
5, because 9^5 = 59049.
7.
FLASHCARD QUESTION
Front
If log_b(x) = y, what is x in terms of b and y?
Back
x = b^y.
Tags
CCSS.HSF.BF.B.5
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