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
A town in Saskatchewan is growing at a rate of 3.5% per year.  If it continues to grow at this rate, the population will reach 40000 in 5 years.  What is the current population of the town?

What is 33679 people?

100
Solve: 8^(2x)=8^(x+7)
What is x=7?
100

Solve: log x = 6

What is 1000000?

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 = 4

What is x = 81?

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

A bond pays 4% interest, compounded semi-annually.  How much will a $1,500 investment be worth in three years?

What is $1689.24?

300
Solve: e^(2x)=e^(x+4)
What is x=4?
300

log [base 2] of 3x = 5

What is x = 32/3

400

Simplify log [base 3] of 81 * sqrt(27)?

What is x = 11/2?

400
Simplify 10^(2+1/3log64).

What is 400?

400

The half-life of Uranium-234 is 245,500 years.  If the United States buries 500 grams, how long will it take for the Uranium to decay to 1 gram? 

What is 2201100.04 years?

400
Solve: 3e^(3 - x)= 15 Round your answer to two decimal places.
What is x= 1.39 ?
400

log [base 9] of (x-5) + log [base 9] of (x+3) = 1

x = 6

500

Expand log [(A^3* sqrt(B)) / C^9]

What is 3logA + 1/2logB - 9logC?

500
Simplify ln e ^(3x)
What is 3x?
500

What is the half-life of a radioactive sample if it takes 7 years to decay from 560 grams to 35 grams?

What is 1.75 years?

500

Solve: 10^(2x+1) + 2 = 102 

What is x = 1/2?

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