Exponential and Logarithmic Jeopardy!!!

Logarithmic Functions

100

What is a logarithmic function?

A function that allows us to determine the value of a specified exponent

200

What is our rule of logarithmic functions?

B^p = A <-----> Log_BA = P

300

Simplify:    log₅(1/125)

-3

400

Is the following statement true? Log₅525 = 4

No

500

What is the value of Euler's Number?

2.71828182846....

Exponential Equations

100

solve:

          3^{x + 4} =  81

x = 0

200

solve:

     4e^2x+1 = 12

x ~ 0.0493

300

Solve:

   e^2x - 4 = 0

x ~ 0.6931

400

Solve using natural logs:

3(4)^x-2 = 3

x = 6

500

solve for t:

25000 = 5000(1 + .03/4)^4t

t = 54 years

Logarithmic Equations

100

Solve 

  log(3x + 3) = 5

x = 33332.3333

200

 Solve 

   log₂(x - 3) = 5

x = 35

300

Solve:

  5 - log₃(x - 2) = 1

x = 83

400

Solve 

     9 - 2log(2x + 1) = 25

x ~ 0.5

500

solve:

     lnx = lnx

x = Infinitely Many Solutions