Exponential Functions
(4.1 and 4.2)
(4.1 and 4.2)
Logarithmic Functions
(4.3)
(4.3)
Laws of Logarithms
(4.4)
(4.4)
Exponential
&
Logarithmic Equations
(4.5)
&
Logarithmic Equations
(4.5)
Real-World Applications
(4.6)
(4.6)
100
State the horizontal asymptote for
y=3(4)^(x-1)+7
y=7
100
Write ay= x in logarithmic form.
loga(x)=y
100
True or False
loga(AB)= loga(A) x loga(B)
False
100
Solve
log4x=2
x=25
100
What is Ms. Dixon's dog's name?
Hazel and Lily
200
A new car that sells for $18,000 depreciates 25% per year. How much will the car be worth after 4 years?
$5,695.31
200
Evaluate
f(x) = log3(243)
5
200
Evaluate.
log2(80) - log2(5)
log2(16)=4
200
ln(8+x)= 2
e2-8
200
What does n stand for in the compound interest formula?
the number of times its compounded yearly
300
What is the Compound Interest Formula?
300
Evaluate
f(x) = log19614
.5
300
Expand.
ln (ab/c)
ln(a) + ln(b) - ln(c)
300
Find the solution.
154x-5 = 1/15
x=1
300
Aaron is buying a new car. He invests $1000 in an account that pays interest at 6% per year compounded monthly.
Write a model.
A(t)=1000(1+.06/12)^(12t)
400
A phone's value decreases by a rate of 20% per year. After 5 years, the phone is worth $350. What is the initial cost of the phone?
$1,068.12
400
Evaluate.
53x=125
x=1
400
Combine.
4log(x) - 1/3log(x2+1) + 2log(x-1)
log (x4(x-1)2)/(x2+1)1/3
400
Solve.
4 + 3log(2x) = 16
x = 5000
400
Aaron is buying a new car. He invests $1000 in an account that pays interest at 6% per year compounded monthly. How long will it take him to have $5,000?
2.28 years
500
You want to buy a car for $15,000 when you graduate college (in 6 years). How much would you need invest if you earn 3.2% interest compounded monthly?
$12,382.77
500
Evaluate.
ln(1/e3)
-3
500
Expand
log_(7)((4x^3)/5)
log_(7)4+3log_(7)x-log_(7)5
500
Solve.
7^(2x+1)-4=12
x=0.212
500
Solve exponential function for x.
log5(x) + log5(x + 1) = log5(20)
x=4