Logarithmic Functions Practice Flashcards

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Log5 625=4

Log(1/3)^3=1/27

128=2^7

1/9=3^-2 Signup and view all the answers

4 Signup and view all the answers

1/2 Signup and view all the answers

Undefined Signup and view all the answers

0 Signup and view all the answers

It translates the graph up 1 unit Signup and view all the answers

Translate the graph to the right 5 units and up to 3 units Signup and view all the answers

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Logarithmic Form of 625 = 5^4:
Logarithmic equation expressed as Log₅ 625 = 4.
Logarithmic Form of (1/3)³ = 1/27:
Written as Log(1/3) 1/27 = 3.
Exponential Form of Log₂ 128 = 7:
Converted to exponential form gives 128 = 2^7.
Exponential Form of Log₃ (1/9) = -2:
Translates to 1/9 = 3^(-2).
Evaluation of Log₂ 16:
The value of Log₂ 16 is 4, since 2^4 = 16.
Evaluation of Log₄₉ 7:
The result of Log₄₉ 7 is 1/2, as 49^(1/2) = 7.
Value of Log₅ (-25):
Logarithm of a negative number is undefined.
Evaluation of Log₅ 1:
The value is 0 because any number raised to the power of 0 equals 1.

Graph of y = log₅ x + 1:
This function translates the parent graph y = log₅ x upward by 1 unit.
Graph of y = log₃ (x - 5) + 3:
This function shifts the parent graph right by 5 units and up by 3 units.