b) According to Wikipedia, Manhattan Island is worth $1.2 trillion. Should old Peter have put his money in the bank instead? What would it be in the b...
Name _________________________________________ Date ______________ Period ________ Intermediate Algebra Chapter 6 Test REVIEW 1. What is a log?
7. Solve with a calculator (nearest hundredth) a) ln 0
2. Change from exponential to logarithmic form.
b) ln17.8
a) 3 = 9 2
c) ln.038 b) x = 10
8
c) 3 = x
8. Solve (special case problems) a) log 7 7
4
3. Change from logarithmic to exponential form. a) log 3 x = 4
b) log10
b) log 2 32 = 5
c) 10
c) log x 27 = 3 d) e
2
log14
ln x
4. Solve for x e) ln e
a) x = 10
8
b) log 3 x = 4
f)
ln e3
c) log x 27 = 3 5. Solve with a calculator (nearest hundredth) a) log156
g)
e
ln x 2
9. Is it growth or decay? Why?
b) log( −3)
a) y = 13(.65)
x
c) log(.0313) 6. Solve. 4 + 5 = 142 x
b) y = 7(1.01) c) y =
3 x+7 4
x
10. Find the multiplier for a) 10% growth b) 8.5% decay
14. Expand a) log 5 25ab
b) ln10e
2
c) 10.5% decay
11. There are 3 E.coli bacteria in your mayonnaise. The bacteria double every 10 minutes. How many bacteria will there be in 10 hours?
12. A house on Voltaire St. (near Bacon St.) sold in 1980 for $17,000. Assuming that values went up by 9.7% per year, how much was it worth in 2014?
15. Condense. a) log 3 x + 2log 3 4 − log 3 10
b) 4log 7 X − 3log 7 Y
16. Solve for x. a) log 3 x + 2log 3 4 − log 3 10 = log 3 8
b) log19 3 + 2log19 x = log19 (10 x − 3)
13. a) Legend says that Peter Minuit and other Dutch colonists purchased Manhattan Island in 1626 for $24. Assuming 7% appreciation per year for this investment, how much should Manhattan be worth in 2014?
17. Change of Base. Solve. a) 6 = 300 x
b) 5 ⋅ e
b) According to Wikipedia, Manhattan Island is worth $1.2 trillion. Should old Peter have put his money in the bank instead? What would it be in the bank if it was compounded quarterly?
