Inverses of Log and Exponential

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•
Mathematics
•
9th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the inverse of the equation 2^(x-9)+5=y?
Back
2^(x+9)-5=y
2.
FLASHCARD QUESTION
Front
What is the inverse of the equation y=2^(x+9)-5?
Back
y=2^(x+9)-5
3.
FLASHCARD QUESTION
Front
Find the inverse of f(x) = 3^(x-1) + 9.
Back
log_3(x-9)+1 = f^(-1)(x)
4.
FLASHCARD QUESTION
Front
Rewrite the equation log_4(4) = x in exponential form.
Back
4^x = 4
5.
FLASHCARD QUESTION
Front
Rewrite the equation log_x(y) = z in exponential form.
Back
x^z = y
6.
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.
7.
FLASHCARD QUESTION
Front
What is the relationship between logarithms and exponents?
Back
If b^y = x, then log_b(x) = y.
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