Logarithms (easy)
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
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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, if b^y = x, then log_b(x) = y.
2.
FLASHCARD QUESTION
Front
Convert the exponential equation 2^3 = 8 into logarithmic form.
Back
log_2(8) = 3.
3.
FLASHCARD QUESTION
Front
What is the value of log_10(100)?
Back
2, because 10^2 = 100.
4.
FLASHCARD QUESTION
Front
What is the value of log_4(1)?
Back
0, because any number raised to the power of 0 equals 1.
5.
FLASHCARD QUESTION
Front
Rewrite the logarithmic equation log_3(27) = x in exponential form.
Back
3^x = 27.
6.
FLASHCARD QUESTION
Front
If log_b(x) = y, what is the equivalent exponential form?
Back
b^y = x.
7.
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.
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