Logarithm Jeopardy

Compound Continuous

100

This is the amount one starts with

Principal

200

This is the formula for compound continuous problems

P = e^rt

300

The decimal one rounds to when solving for A or P

Hundreths place

400

The movement of a decimal point one must do in order to convert the percentage of the rate

Two to the left

500

Simplify when the following occurs:

p =1000

r=5%

t=3

A = 1161.83

Logarithms

100

This is the base of logarithms

10

200

What logarithms solve for

exponents

300

The method needed to simplify a log when the base is not 10

Change of base

400

The form that is considered an inverse of a logarithm

exponential form

500

Simplify when the following occurs:

log₅2 + log₅6x = log₅144

x = 12

Exponential

100

This is the value of b for growth

b>1

200

This is the value of b for decay

0<b<1

300

These are the values that describe the transformation of an exponential function

a, h, & k

400

This is the Domain and Range of an exponential graph

D: (-00, +00)

R: (k, +00) or (-00, k)

500

The description of the following exponential function:

f(x) = -3 (1/3)^{x - 4} + 2

Vertical stretch by 3

Flips over x-axis

Right 4 units

Up 2 units

Compound Interest

100

The amount that is compounded daily

n = 365

200

The amount that is compounded quarterly

n = 4

300

The amount that is compounded semi-annually

n = 2

400

The amount that is compounded bi-weekly

n = 26

500

Simplify when the following occurs:

P = 1500

r = 6.5

t = 5

n = weekly

A = 2075.62

Natural Logs

100

This is the base of natural logarithms

e

200

The approximate value of e

e = 2.718281828

300

Simplify when the following occurs:

ln 20x - ln 4

ln 5x

400

Simplify when the following occurs:

ln 2x + ln 5 = ln 200

x = 20

500

Expand when the following occurs:

ln 2wxyz

ln 2 + ln w + ln x + ln y + ln z