Quiz about Logarithms Attempt #2

Question 1

Which following equation is the inverse of the function shown in the graph below?

Accepted Answer

$$y=3^x$$

Answer

$$y=x^3$$

Answer

$$y=\log_3x$$

Answer

$$x=3^y$$

Question 2

Which following equation is the inverse of the function shown in the graph below?

Accepted Answer

$$y=\log_2x$$

Answer

$$y=2^x$$

Answer

$$x=\log_2y$$

Answer

$$y=\log_3x$$

Question 3

The graph of the parent log function, $$f(x)=\log_{10}x$$ , is transformed to $$f(x+2)-6$$ . Which best explains the effect the transformation has on the graph?

Accepted Answer

The graph is shifted left 2 units, down 6 units, and the vertical asymptote shifted from x = 0 to x = -2

Answer

The graph is shifted right 2 units, down 6 units, and the vertical asymptote shifted from x = 0 to x = 2

Answer

The graph is shifted right 2 units, up 6 units, and the vertical asymptote shifted from x = 0 to x = 2.

Answer

The graph is shifted down 4 units, and the vertical asymptote stayed at x = 0.

Question 4

Given an initial investment of $500 at a rate of 4% interest compounded annually, and no additional deposits, Mrs. Ramirez wanted to determine how long she would have to leave the money in her investment account for her money to grow to $1000. To solve the problem Mrs. Ramirez uses the equation $$500(1.04)^t=1000$$ . How long will she need to plan to invest her money?

Accepted Answer

Approximately 17.7 years

Answer

Approximately 0.3 years

Answer

Approximately 117.4 years

Answer

Approximately 2 years

Question 5

Sonja made a pot of hot tea and recorded its degrees above room temperature for one hour. Find the most appropriate regression equation given the following data.

Accepted Answer

$$y=145.5\left(.94\right)^x$$

Answer

$$y=.06x^2-5.39x+132.6$$

Answer

$$y=-2.1x+105$$

Answer

$$y=-.001x^3+.15x^2-7.4x+138.8$$

Logarithms Attempt #2

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