Quiz about Solving/Graphing Exponential and Logarithmic Functions

Question 1

Solve for $$x,\ 6^{3x-2}=6^{2x+7}$$

Accepted Answer

$$x=9$$

Answer

$$x=-9$$

Answer

$$x=5$$

Answer

$$x=-5$$

Question 2

Solve for $$x,\ 25^{2x-3}=125^{3x+2}$$

Accepted Answer

$$x=-\frac{12}{5}$$

Answer

$$x=\frac{12}{5}$$

Answer

$$x=-\frac{5}{12}$$

Answer

$$x=\frac{5}{12}$$

Question 3

Solve for $$x,\ \left(\frac{1}{36}\right)^{3x-2}=\left(\frac{1}{216}\right)^{4x+3}\ $$

Accepted Answer

$$x=-\frac{13}{6}$$

Answer

$$x=\frac{13}{6}$$

Answer

$$x=\frac{6}{13}$$

Answer

$$x=-\frac{6}{13}$$

Question 4

Given (0,4) and (2,100), write the exponential function in the form, $$f\left(x\right)=a\left(b\right)^x$$

Accepted Answer

$$f\left(x\right)=4\left(5\right)^x$$

Answer

$$f\left(x\right)=4\left(2\right)^x$$

Answer

$$f\left(x\right)=4\left(4\right)^x$$

Answer

$$f\left(x\right)=4\left(3\right)^x$$

Question 5

Given the function, $$f\left(x\right)=2^x+3$$ find the ordered pairs for when $$x=-2,0,1$$

Accepted Answer

$$\left\{\left(-2,\frac{13}{3}\right),\left(0,4\right),\left(1,5\right)\right\}$$

Answer

$$\left\{\left(-2,5\right),\left(0,4\right),\left(1,\frac{13}{4}\right)\right\}$$

Answer

$$\left\{\left(-2,\frac{11}{3}\right),\left(0,4\right),\left(1,5\right)\right\}$$

Answer

$$\left\{\left(-2,\frac{13}{3}\right),\left(0,3\right),\left(1,5\right)\right\}$$

Question 6

Given $$f\left(x\right)=2^{x-4}$$ , what value of x is the "middle" of the graph

Accepted Answer

$$4$$

Answer

$$-3$$

Answer

$$-4$$

Answer

$$0$$

Question 7

What is the equation to the horizontal asymptote for the function $$f\left(x\right)=2^{x+3}-1$$

Accepted Answer

$$y=-1$$

Answer

$$y=-3$$

Answer

$$y=3$$

Answer

$$y=1$$

Question 8

What values of x would you use for $$f\left(x\right)\ =\ \log\left(x\right)-2$$

Accepted Answer

$$x=1,2,4,8$$

Answer

$$x=0,1,2,3$$

Answer

$$x=1,2,3,4$$

Answer

$$x=0,1,2,4$$

Question 9

What values of x would you use for $$f\left(x\right)=\log\left(x+3\right)-2$$

Accepted Answer

$$x=-2,-1,1,5$$

Answer

$$x=0,1,2,3$$

Answer

$$x=1,2,4,8$$

Answer

$$x=-3,-2,-1,1$$

Question 10

Where does the vertical asymptote occur for $$2\log_2\left(x-5\right)-1$$

Accepted Answer

$$x=5$$

Answer

$$x=-1$$

Answer

$$x=-5$$

Answer

$$x=1$$

Solving/Graphing Exponential and Logarithmic Functions

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