Precalculus Logarithmic Expressions

Which equation could be the equation of the graph?

• A

• B

• C

• D

• E

• A

• B

• C

• D

Determine whether the given table represents an exponential or a logarithmic function and include your reasoning.

• exponential because input values change multiplicatively and output values change additively

• logarithmic because input values change multiplicatively and output values change additively

• exponential because output values change multiplicatively and input values change additively

• logarithmic because output values change multiplicatively and input values change additively

• 4 + ln 2 - 3ln X

• 4 + ln 2 + 3ln X

• ln 2 + ln e^4 - ln X^3

• ln X^3 - ln 2 - ln e^4

What are all values of x for which ln(3x) + ln(2) = 4?

• x=2/3

• 12.5

• 50

• 100

• 200

Which of the following claim and explanation statements best fits these data?

• f is best modeled by an exponential function, because the input values change proportionately as output values increase in equal-length intervals.

• f is best modeled by an exponential function, because the output values change proportionately as input values increase in equal-length intervals.

• f is best modeled by a logarithmic function, because the input values change proportionately as output values increase in equal-length intervals.

• f is best modeled by a logarithmic function, because the output values change proportionately as input values increase in equal-length intervals.

• f is increasing, and the graph of f is concave up.

• f is increasing, and the graph of f is concave down.

• f is decreasing, and the graph of f is concave up.

• f is decreasing, and the graph of f is concave down.

• h is increasing, and the graph of h is concave up.

• h is increasing, and the graph of h is concave down.

• h is decreasing, and the graph of h is concave up.

• h is decreasing, and the graph of h is concave down.