AnswersAlgebra IIExponential and Logarithmic Functions

Exponential and Logarithmic Functions — Test Answers

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If you are given the graph of h of x is equal to the log base 6 of x , how could you graph m times x is equal to log sub 6 of open paren x plus 3 close paren ?

A
Translate each point of the graph of h x 3 units right.
B
Translate each point of the graph of h x 3 units up.
C
Translate each point of the graph of h x 3 units left.
D
Translate each point of the graph of h x 3 units down.
24

Which of the following shows the graph of y is equal to 4 to the x th power plus 3 ?

A
Image with description On a coordinate plane, the curve passes through (negative 3 comma 1) and (negative 2 comma 4).It increases rapidly in the first quadrant as x increase and goes towards line y equal 0 as x decreases in the second quadrant.
B
Image with description On a coordinate plane, the curve passes through (0 comma 4) and (1 comma 7).It increases rapidly in the first quadrant as x increase and goes towards line y equal 3 as x decreases in the second quadrant.
C
Image with description On a coordinate plane, the curve passes through (0 comma negative 2) and (1 comma 1).It increases rapidly in the first quadrant as x increase and goes towards line y equal negative 3 as x decreases in the third quadrant.
D
Image with description On a coordinate plane, the curve passes through (3 comma 1) and (4 comma 4).It increases rapidly in the first quadrant as x increase and goes towards line y equal 0 as x decreases in the second quadrant.
25

How does the value of log_2⁡100 compare with the value of the log base 6 of 20 ?

A
The value of the log base 2 of 100 is about 1 fourth times the value of the log base 6 of 20 .
B
The value of the log base 2 of 100 is about 1 third times the value of the log base 6 of 20 .
C
The value of the log base 2 of 100 is about 4 times the value of ​​​​​​​ the log base 6 of 20 .
D
The value of the log base 2 of 100 is about 3 times the value of the log base 6 of 20 .

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