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Logs!
Exponential EQ's
Word Problems
Solving Exponential EQ's
Solving Log EQ's
100
Simplify the expression: log (base 2) 8
What is 3?
100
Write the exponential equation 4^5= 1,024 in logarithmic form.
What is log (base 4) 1,024 = 5 ?
100
If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, how many bacteria will there be in 5 hours? Round to the nearest whole number.
What is 9,155 bacteria?
100

Solve: 8^(2x)=8^(x+7)

What is x=7?

100
Solve: log x = 3
What is 1000?
200
Write the equation log (base 3) 729 = 6 in exponential form.
What is 3^6=729 ?
200
Write the exponential equation 27^ (1/3) = 3 in logarithmic form.
What is log (base 27) 3 = 1/3 ?
200

If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?

What is 3 hours?

200

Solve: 

25^(x-4)=5^(3x+1)

What is x=-9 ?

200
log (base 3) x = 5
What is x = 243 ?
300
Write the equation log 1000 = 3 in exponential form.
What is 10^3=1000 ?
300
Write the exponential equation (1/2)^-3=8 in logarithmic form.
What is log (base 1/2) 8 = -3
300

What is the only food to never go bad?

What is Honey

300
Solve: e^(2x)=e^(x+4)
What is x=4?
300
Solve: ln x = 4 Round your answer to two decimal places.
What is x= 54.60 ?
400

What is the asymptote of the graph of:

f(x) = 1(2)^(x+3) - 1 ?

What is x=-1 ?

400

Is the graph y= .7^x a growth or a decay?

What is decay

400
You invest $4000 into an account earning 2.75% interest compounded monthly. How much money will be the account after 2 years?
What is $4225.90
400
Solve: 3e^(3 - x)= 15 Round your answer to two decimal places.
What is x= 1.39 ?
400
Solve: 3 ln x - 7 = 4 Round your answer to two decimal places.
What is x= 39.12 ?
500

Who is considered the “Father of Relativity?

Who is Albert Einstein 

500

What does ln e ^3 equal?

What is 3

500

You see the word continuous in a word problem - what is the equation you are using?

What is A=Pe^rt

500
Solve: 10^(2x+1) + 2 = 4 Round your answer to two decimal places.
What is x = -0.35 ?
500

M&M’S Fruit Chews would eventually become what popular candy?

What is Starburst