Logarithm Review

Evaluating Logarithms

100

log₄16=

What is 2?

200

log₂(1/8)

What is -3?

300

log₄2

What is (1/2)?

400

log₇(1/343)

What is -3?

500

log₂₅(1/5)

What is -1/2?

Inverse of Logs

100

Find the inverse of y=log₃x

What is y=3^x?

200

What is the inverse of y=log₂x³

What is y=2^x/3?

300

Find the inverse of y=10^x

What is y=log₁₀x?

400

Find the inverse of y=3^x+4

What is y=log₃(x-4)?

500

Find the inverse of y=4^(x/2)

What is y=2*log₄x?

Exponential Equations

100

Solve 4^x=8^x-2

What is x=6?

200

Solve 5^x+1=(1/25)

What is x=-3?

300

Solve 10^x=74, round to the nearest ten-thousandths

What is 1.8692?

400

Solve 

-10*8^-5x = -81

What is -0.2012?

500

Solve for x in 

-4*e^2.2x-7+1=-59

What is 

x = (ln15 + 7)/2.2?

Logarithmic Equations

100

Solve 

log(5x-7) = log(3x-1)

What is x=3?

200

Solve log₁₄(6x-1) = log₁₄(v²-17)

What is x=8?

300

solve logx - log2 = 1

What is x=20?

400

Solve log 3x² - log 3 = 2

What is x = 10, -10?

500

Solve ln(5-2x) + ln9 = 4

What is x = -0.5332?

Compound Interest

100

Brenda invests $4,848 in a savings account with a fixed annual interest rate of 5% compounded 2 times per year. What will the account balance be after 6 years?

What is $6,520.02?

200

Jasmine invests $2,658 in a retirement account with a fixed annual interest rate of 9% compounded continuously. What will the account balance be after 15 years?

What is $10,253.04?

300

John invests a sum of money in a retirement account with a fixed annual interest rate of 2.63% compounded continuously. After 15 years, the balance reaches $1,912.41. What was the amount of the initial investment?

What is $1,289?

400

Henry invests $8,589 in a retirement account with a fixed annual interest rate of 7% compounded continuously. How long will it take for the account balance to reach $21,337.85?

What is 13 years.?

500

An $1,000 investment is made in a trust fund at an annual percentage rate of 12%, compounded monthly. How long will it take the investment to reach $2,000? (Answer needs to be in number of years and months)

What is 5 years and 10 months?