Evaluating Logs
Exponential Equations
Properties of Logarithms
Solving Equations
Triangling
Math Bands
100

Evaluate

log_3(1/81)

What is -4 ?

100

Write the equation for:

A $1000 initial deposit invested at 5.25% compounded continuously for 4 years.

 

What is 

A=1000e^(0.0525*4) or $1233.68


100

Write as a single logarithm

log_7(a)+3log_7(a)


What is 

4log_7(a) or log_7(a^4)

100

Solve

log(x+3)=2

What is 97?

100

The number of possible triangles if:

A = 40

a = 5

b = 12

What is 0?

100

1/2 a minute from nearest planet

What is 30 seconds to Mars?


200

Evaluate:

ln(e^6)

What is 6 ?

200

Write the equation for

1000 grams of radioactive material decaying 10% each day. 

What is

A=1000(0.9)^t?

200

The domain and range of:

y=log(x-2)+4

What are:  D: x>2   and   R: all real numbers

200

Solve 

2.4^x=7.2

What is 2.255?

200

The number of possible triangles if:

A = 40

a = 15

b = 12

What is 1?

200

1/12 of a minute in June or July

What is 5 Seconds of Summer?


300

Evaluate:

log_0.2(125)

What is -3?

300

The domain and range for:

y=2^(x-4)+3

What are D: all real numbers  and   R: y>3

300

Expand completely using properties of logs

ln(a^2/(bc^3))

What is 

2ln a-[ln b+3ln c] or 2ln a-ln b-3ln c

300

Solve

2log_3(x+1)=6

What is 26?

300

The number of possible triangles if:

A = 40

a = 8

b = 10

What is 2?

300

Reddish-Purple Cinco

What is Maroon 5?


400

Evaluate 

log_2(4^(1/3))

What is 

2/3?

400

Re-write in 

f(x)=a*b^x



5*2^(2x+3)


What is 

40*4^x?

400

Given log x = 2, log y = 3 and log z = 7, 

find 

log((x^2y)/z)

What is 0?


400

Solve 

2 log x=log 2 +log (3x-4)

What is 2 and 4?

400

Find A if:

a = 10

b = 7

B = 32 degrees

What is 49.2 or 130.8 degrees?

400

Blackjack Flyboys

What is 21 Pilots?


500

Evaluate

log_2(16sqrt(2))

What is 

9/2?

500

A newly hatched catfish usually weighs 0.3 gram.  During the first six weeks of life its growing is approximately exponential, increasing by 10% each day.Find the weight of the catfish at the end of six weeks.



What is 16.429 grams

500

Condense:

1/2log x+log y-4 log z


What is 

log ((ysqrt(x))/z^4)

500

Solve

ln(x+4)-ln(x)=4

What is 

4/(e^4-1)

500

Find A if:

a = 5

b = 7

c = 8



What is 38.213 degrees?

500

Single Trajectory

What is One Direction?


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