Logs!
Exponential EQ's
Word Problems
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: 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 3 hours how many bacteria will there be?

What is 5850 bacteria?

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

Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurement of an earthquake with intensity 30,000,000. Round your answer to four decimal places.

What is 7.4771?

300

expand. log2(18)

what is log2(6)+log2(3) or log2(9)+log2(2)?

400

solve the following 

log(base 2)1/8=

What is x=-3 ?

400

What is the name of the shape a exponential equation makes?

What is an elbow curve?

400
Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurement of an earthquake with intensity 35,000,000. Round your answer to four decimal places.
What is 7.5441 ?
400

expand log3(5/7)

log3(5)-log3(7)?

500

What are the two properties we use to expand logarithms?

What is addition and subtraction property ?

500

complete the following 

log___1/64=-3

What is 4?

500
Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the intensity of an earthquake with a Richter scale of 7.567 Round your answer to four decimal places.
What is 36,897,759.8570?
500

correctly classify the following as exponential growth or decay 

virus spread

buying and driving a car for 4 years

a recently industrialized town

radioactive waste breaking down

what is 

growth 

decay 

growth 

decay 

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