# Logarithms and Exponential Functions

# Logarithms and Exponential Functions: EXPO Construction Kit Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Logarithms and Exponential Functions**Q. Find the function that doubles in value for every interval and at x = 3,

*y*= 24*y*= 3(8

^{x})

*y*= 3(2

^{x})

*y*= 2(3

^{x})

*y*= 8(24

^{x})

Q. Find a function that decreases by three for every interval and at x = 1,

*y*= 5*y*= 3

^{x}– 5

*y*= 8x – 3

*y*= -x + 8

*y*= -3x + 8

*y*= x

^{-3}+ 8

Q. Find the exponential function that fits the following table of data: {0;2 , 2;98 }

*y*= 2(7

^{x})

*y*= 7(2

^{x})

*y*= 14(2

^{x})

*y*= 49(2

^{x})

*y*= 2(14

^{x})

Q. Find the exponential function that fits the following table of data: {1;-6 , 2;-18 }

*y*= 2(3

^{x})

*y*= -6(3

^{x})

*y*= 2(-3

^{x})

*y*= -2(3

^{x})

*y*= 6(-2

^{x})

Q. Which type of growth fits the following table of data: {1,2; 4,4; 9,12}

Linear growth

Square root growth

Exponential growth

Positive growth

Logarithmic growth

Q. Which type of growth fits the following table of data: {0,1; 2,9; 3,27}

Linear growth

Square root growth

Exponential growth

Positive growth

Logarithmic growth

Q. Rewrite

*y*= 4*e*^{2x}in logarithmic form.Q. Rewrite

*y*= -4(5^{5x + 1}) in logarithmic form.Q. Rewrite

*y*= log_{7}10*x*^{2}in exponential form.Q. Rewrite <em>y</em> = ln 10

*ex*in exponential form.