Graphs
Expand/ Condense
Solving
Solving 2
Random
100

What is the range? 

(-oo,oo)

100

Expand. 

log_8(x^3y^6)

3log_8(x)+6log_8(y)

100

3^(2x-1)=3

x=1

100

e^x=4

x=1.39

100

Given the function, f(x), what transformations have occured?

f(x-2)+3

Right 2, Up 3

200

What is the domian? 

(0,oo)

200

Condense. 

ln(x)+2ln(y)

ln(xy^2)

200

log_12(4x-6)=log_12(x)

x=2

200

4^(3x-1)=16

x=1

200

Factor. 

x^2+6x+8

x=-4, -2

300

What is the asymptote? 

y=5log(x-3)+2

x=3

300

Expand. 

log((8y)/z^3)

log(8)+log(y)-3log(z)

300

log_2(x)-log_2(3)=2

x=12

300

log(x)-log(5)=log(31)

x=155

300

Solve. 

y=-2x+3

x+y=6

(-3,9)

400

What point, (x,y) would cancel out the log?  

y=2log_3(x-1)

(4,2)

400

condense. 

2log_2(x)-3log_2(y)-log_2(2)

log_2(x^2/(2y^3))

400

14^(3x)+4=67

x=0.52

400

log_6(x)+log_6(9)=2

x=4

400

Find the inverse. 

y=4x+5

y=(x-5)/4

500

Provide the domain, range, asymptote and x-intercept for the following equation: 

y=3log_4(x-4)-3

Domain:

(4,oo)

Range: 

(-oo,oo)

Asymptote: 

x=4

x-int: 

(8,0)

500

Expand

ln((2a)/b^2)

ln(2)+ln(a)-2ln(b)

500

-6*15^(v-8.4)=-3

x=8.14

500

14^(n-0.8)+9.2=40

x=2.1

500

You invest $3,500 that is compounded continuously. If the account pays 7% interest, how much money will you have in 18 years? 

$12,338.98