Logs!
Rules
Growth and Decay
Solve Me 1
Solve Me 2
100

Write the equation 3^6=729 in logarithmic form.

What is log (base 3) 729 = 6 ?

100

Growth or decay: y=3^x

What is Growth ?
100

An adult takes 400mg of ibuprofen. Each hour, the amount of ibuprofen in the persons system decreases by 29%. How much ibuprofen is left after 6 hours?

What is 51.24 mg ?

100
Solve: 8^(2x)=8^(x+7)
What is x=7?
100
log (base 3) x = 5
What is x = 243 ?
200

Write the equation ln 20.1 = 3 in exponential form.

What is e^3=20.1 ?

200

Simplify: 2log x + log 4

What is log (4x^2)

200

You have inherited land that was purchased for $30,000 in 1960. if the value of that land increases at 5% per year, what is the value of the land in 2011?

What is $361,223.09 ?

200
Solve: e^(2x)=e^(x+4)
What is x=4?
200
Solve: ln x = 4 Round your answer to two decimal places.
What is x= 54.60 ?
300

What is the range of y=5(1/3)^x

What is y>0 ?

300

Simplify ln e ^(3x)

What is 3x ?

300

Find the amount in a continuously compounded account with a principal balance of $5,000 and annual interest rate of 5.1% over 3 years

What is $5826.62 ?

300
Solve: 3e^(3 - x)= 15 Round your answer to two decimal places.
What is x= 1.39 ?
300
Solve: 3 ln x - 7 = 4 Round your answer to two decimal places.
What is x= 39.12 ?
400

What is the inverse of the function y=log(x+6) ?

What is y=10^x -6 ?

400

Expand: log (6x^2)/9x

What is log 6 + 2 log x - (log 9 + log x) ?

400

You deposit $1500 in a bank account that pays 4.3% annual interest. Find the balance after 6 years if the account is compounded monthly

What is $1940.61 ?

400
Solve: 10^(2x+1) + 2 = 4 Round your answer to two decimal places.
What is x = -0.35 ?
400

Solve: log (base 4) 5 - log (base 4) -4x = 1

What is -5/16 ? 

500

What is the asymptote of the graph of f(x)= log(x + 2) -1 ?

What is x= -1 ?

500

Condense: (log (4x+15) + log (3-2x)) - 2 log 15

What is log ((-8x^2-18x+45))/15^2

500

Becca deposited $3,000 into an account with an annual interest rate of 6.75%. How many years will it take for her to reach $15,000?

What is 24.6 years ?

500

Solve: 6 + 3e^(x+1) = 21 Round your answer to two decimal places.

What is x = 0.61 ?

500

Solve: log (base 6) x - log (base 6) (x+6) = 1

What is No Solution?

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