Solve
Simplify or Expand
Misc.
???
left overs
100
ln (2x+7)^2 = 6
x = 2 or -13.55
100
log 5 - 3log 3
log(5/27)
100
Solve 6log 67 = 9x
x = 1.2174
100
Without graphing, determine whether y = 100(.12)^x represents exponential growth or decay
Decay
100
log .4 + log 3
.079
200
log 32 - log 4
0.903089987
200
log base 3 of 9 minus log base 3 of 27
log base 3 of 1/3
200
Write 25 = 5^2 in logarithmic form
log base 5 of 25 = 2
200
solve: log(3x + 1) = 2
x = 33
200
What percent of increase or decrease does the function model? y=15(1.45)^x
45% increase
300
ln x = e^2
1618.178
300
Expand log(x^3*y^5)
3log x + 5log y
300
Solve log base 16 of32 = x
x = 5/4
300
Solve: 8 + 10^x = 1008
x = 3
300
A bank offers a continuously compounding interest rate of 1% per year while another offers 1.1% compounded yearly. Which is the better offer after 3 years?
1.1% compounded yearly
400
5 log x - (3 log 5 + 4 log 2) - 25 = 0
x = 457305.0519
400
3ln x - 2ln y + log 100
ln(x^3/y^2) + 2
400
Suppose you invest $200,000 at an annual interest rate of 8.9% compounded continuously. How much money will you have after 13 years?
$961,329.64
400
There are a group of friends who go to see a movie and have to take two cars. In one car there are log base 2 of 9 amount of friends going and in the other car there are log base 8 of 729 amount of friends going. How many complete living friends went to see the movie.
6 complete friends.
400
Write an exponential function for a graph that includes (2,2) and (3,4).
.5*2^x
500
462^(24x - 15) = 12654
x = 0.6891
500
4log x - 6log(x+2)
log(x^4/(x+2)^6)
500
Write an exponential function using points (5,6) and (10,8)
y=2.5610(1.1856)^x
500
If Billy is making a rectangular enclosure for his grandmother and he wants the dimensions to be 5log36 by 18log9 feet, how many square feet will the fence enclose? He doesnt want to give her too much space or she will get cocky, will there be less than 150 ft^2?
Yes, 133.658 square feet
500
2e^(3x-2) + 4 = 16
1.2639
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