Evaluating Expressions
Solve the equation
Solve (with a calculator)
Change to Exp. Form
Growth and Decay
100
Log base 8 of 64=x. Solve for x without a calculator.
X=2
100
256^x=4
1/4
100
Log32. Round to 4 decimal places.
1.5051
100
Log base 3 of x=4 Solve for x without a calculator.
81
100
Jill invested $1000 at 3% interest compounded monthly. How much money does she have after 5 years?
$1161.62
200
lne^7 Solve without a calculator.
7
200
(5/9)^x=729/125
-3
200
Ln13 Round to four decimals.
2.5650
200
Log x=2 Solve for x without a calculator.
100
200
A $12,500 car loses 13% of it's value annually. How much is it worth after 8 years?
$4102.65
300
e^ln20 Solve without a calculator.
20
300
Wind speed varies in the first twenty meters above the ground. Let f(x)=1.7lnx+8.2 compute the wind speed x meters above the ground. What is the wind speed 12 meters above the ground? Round to the nearest hundredth.
12.42
300
e^3 Round to four decimals
20.0855
300
Log base 2 of x = 4 Solve for x without a calculator.
16
300
Janna invested $5000 in an account with 8% interest compounded continuously. How much money does she have after 10 years?
$11,127.70
400
10^log17 Solve without a calculator.
17
400
Wind speed varies in the first twenty meters above the ground. Let f(x)=5.8lnx+3.3 compute the wind speed x meters above the ground. At what height is the wind speed 10 meters per second? Round to the nearest hundredth.
3.19
400
Log12/log24 Round to four decimals.
0.7819
400
Log base 4 of 64 = x Solve for x without a calculator.
3
400
$480 was invested at an annual rate of 6% compounded quarterly. What is the investment worth after two years?
$540.72
500
20e^ln4 Solve without a calculator.
80
500
A cake is removed from an oven at 325*F and cools to 150*F after 25 minutes in a room 68*F. How long will it take the cake to cool to 113*F?
38.1 minutes
500
(e^2) x (e^3) Round to four decimals.
148.4132
500
Log base 2 of 1/8=x Solve for x without a calculator.
-3
500
Principal of $1581.69 invested at 6% compounded monthly. How much is the investment worth after three years?
$1,892.78
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