Exponential
Fundamentals
Logarithmic
Fundamentals
Exp and Log
Equations
Pop Culture
Geometric Sequences
100

Growth or decay?

1/2(3x)

Growth

100
Rewrite as a logarithm 


54 = 625

log5(625) = 4

100

Solve for x

52x = 5x+1

x = 1

100

Why was Greenland named as such?

Greenland is called Greenland because of a clever trick employed by Erik the Red, a Norse explorer, who was exiled from Iceland. He named the island "Grœnland" (Greenland) in Old Norse, hoping that the pleasant name would attract settlers to the land, despite it being mostly covered in ice and snow

100

What does the r stand for in an=a1rn-1

common ratio

200

State the domain and range of the function:

f(x)=3(4)x - 6

D: ARN

R: y>-6

200

What is the base of log(x)

10

200

Solve for x

496x + 1 = 343

x = 1/12

200

In what year was the first Apple iPhone released?

2007

200

Find the indicated term:

a1=5

r=2

n=7

320

300

State growth or decay:

y = 3(.85)x

decay

300

Evaluate

log⁡25616= ?

1/2

300

Solve for x

2(5)3x+10-1=11

x = -3

300

What is Mr. Aurelia's favorite sport and TV show?

Baseball and Dr. Who

pts also for hockey, the office, parks and rec, big bang

300

Name every professional Football, Baseball, and Basketball and Hockey team from the state of New York.

New York Giants

New York Jets

Buffalo Bills

New York Mets

New York Yankees

Brooklyn Nets

New York Knicks

NY Rangers

NI Islanders

400

You start off with an account that has $32,000 and an annual interest rate of 5%. How much money will you have after 3 years if the account compounds daily? Round to the nearest cent.

$37,178.31

400

Determine the end behavior of the function:

m(x) = log1/2(x)

as x -> 0, m(x) -> infinity

as x -> infinity, m(x) -> negative infinity

400

Solve for x:

ln(x+5)=3

x=15.09

400

Name 3 Italian Brainrot characters

Ans will vary

400

Find the sum of the geometric series for which

a1=15

r=2/3

n=5

1055/27 or 39.074...

500

Your house appreciates in value at a rate of 5% per year, compounded continuously. You bought it for $245,000.Write an eq to represent this situation where time, t, is in months.

y = 245,000e^(12(.05)/12)t

500

State the domain, range and eq of asymptote:

g(x) = 2log4(x-5)+69

D: [5, in]

R: All reals

Asyp: x = 5

500

Solve for x

log(3x) - log(x+8) = 0

x = 4


500

What is the name for a group of porcupines?

A prickle 

500

What is the next term in the geometric sequence:

10, 5/2, 5/8, 5/32, ...

5/128