Conversions
Change of Base
Solutions to Exp Equations
Log Equations
Are you interested?
100

Convert this log statement to exponential form: Log(base 2)32 = 5

What is 2^5 = 32

100
log (base B) A = log A / log B
What is how to evaluate a log statement that is not in base 10?
100
4^x=64
What is 3?
100
log (4x-3) = log 19
What is 11/2
100

The amount Aidan must pay back if $25,000 is borrowed at 12% for 6 years if it's compounded monthly

What is $51,177.48?

200
Convert this to logarithmic form: 4^5=1024
What is log (base 4) 1024 = 5
200

log (base 4) 9

What is 1.585

200
3^x = 21
What is 2.771
200
log (base 6) (x/2 - 4)= log (base 6) 25
What is 58?
200

E. Fuoss bacteria in a culture increase in number at a rate proportional to the current population. If the growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?

197.2 million

300
Convert to exponential form: log (base 3) 81 = 4
What is 3^4 = 81
300
log (base 8) 8^5
What is 5?
300
7=2^(3x)
What is 0.936
300
log x + log (x + 4) = log 12
What is 2?
300

The amount of interest Grizz L. Bear pays if he borrows $180,000 for a house. The terms of the loan include a 4.75% interest rate, compounded quarterly, for 30 years.

What is $562,158.11?

400

Convert 2 = log (base 3) 9 to exponential form.

What is 3^2=9.

400
log (base 3) 8
What is 1.893
400
2^(x+4)=5^(x-1)
What is 4.782
400
log 5 - log (2x - 1) = 1
What is 3/4?
400

For a period of time, Society Island's population grows at a rate proportional to its population. If the growth rate is 3.8% per year and the current population is 1543, what will the population be 5.2 years from now?

1880 people

500

log (base 6) 7776 = ?

What is 5?

500
log (base e) 10
What is 2.303
500
7^(x/2)=5^(1-x)
What is 0.623
500
log (base 5) x + log (base 5) (x + 24) = 2
What is 1?
500

Troy Ramezani saves $25,000 at an annual interest rate of 2.5%. Find the amount of the investment at the end of 40 years if the interest is compounded semi-annually.

What is $67537.12?

M
e
n
u