Logarithms and Exponential Fxns as Inverses
Log Properties
Solving Exponential Equations
Real World Logarithms
Trivia
100

The inverse of an exponential function

What is a logarithmic function

100

The expanded form of 

log(x xx 18)

What is 

logx + log18

100

The following equation solved for x (rounded to 3 decimals):

3^x=21

What is 2.771

100

I have a herd of cows that starts with 15 cows and grows at 9.12% every year (continuous compounding). Determine "a" in the equation for the herd growth. Use the formula:

C(t)=a*e^(rt)

What is 15.

100

The world record for most tennis balls held by a dog simultaneously.

What is 6?

200

The logarithmic form of the equation 

x^5=y

What is 

log_x y=5

200

The condensed form of 

log8-(3log2)

What is 

log(8/(2^3))

200

The following equation solved for x:

2*4^x=39.5

What is 2.152

200

I have a herd of cows that starts with 15 cows and grows at 9.12% every year (continuous compounding). Determine "r" in the equation for the herd growth. Use the formula:

C(t)=a*e^(rt)

What is 0.0912

200

The programming language Python is named after this British comedy group.

What is Monty Python

300

The exponential form of the equation

log_2 8=3

What is 

2^3=8

300

The expanded form of 

log(ab)^2

What is 

2loga+2logb

300

The following equation solved for x:

4.65^3.2=x

What is 136.725

300

I have a herd of cows that starts with 15 cows and grows at 9.12% every year (continuous compounding). Find the # of cows I will have in 17 years (rounding to the nearest whole cow). Use the formula:

C(t)=a*e^(rt)

What is 71 cows

300

The Boulder Dushanbe Tea House is from Dushanbe, Boulder's sister city, which is the capital of this country

What is Tajikistan

400

The following equation solve to have y by itself:

x=3^y

What is 

y=log_3x

400

The condensed form of 

(6log7)/3

What is

log7^(6/3)

400

The following equation solved for x:

5^(x-1)=45

What is 3.365

400

I have a herd of cows that starts with 15 cows and grows at 9.12% every year (continuous compounding). When will I have 100 cows? Round to the nearest 10th of a year. Use the formula:

C(t)=a*e^(rt)

What is 20.8 years.

400

The only mammal capable of true flight

What is the bat

500

The following equation solved to have y by itself:

x=log(2y)

What is 

y=(1/2)10^x

500

The value of the following expression evaluated to 3 decimal places

log_5 18

What is 1.796

500

The following equation solved for x:


What is 1.001

500

I have a herd of cows that starts with 15 cows and grows at 9.12% every year (continuous compounding). In how many years will my herd double in size? Use the formula:

C(t)=a*e^(rt)

What is in 7.6 years

500

Someone from Glasgow, Scotland is called this. (People from Boulder are called Boulderites. People from NYC are New Yorkers).

What is a Glaswegian.

M
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