Graphs!
Exponential Equations
Logarithms
Logarithm Equations
100

What is the domain of 

y=3^x

x:x in (-infty,infty)

100

Solve 

2^x=16^(x-1)

x=4/3

100

Convert the logarithm into its exponential form

log_7(49)=2

7^2=49

100

Solve for x 

log(2x-7)=log(x)

x=7

200

What is the range of 

y=3^x

y:yin(0,infty)

200

Solve 

(1/3)^(x+2) = 9^(3-x)

x=8

200

Convert the logarithm into its exponential form

log_7(1/49)=-2

7^(-2)=1/49

200

Solve 

log_5(5x-6) = log_5(2x-4)

x=2/3

300

What is the domain of 

y=log_3(x-7)

x:x in (7,infty)

300

Solve the following equation without your calculator. (leave your solutions in their algebraic form)

2^(2x)=19

x=ln(19)/(2ln(2))

300

Condense the logarithm

3log_9(x)+2log_9(y)-log_9(z)

log_9((x^3y^2)/z)

300

Solve

log_4(2x) = 3

 for x

x= 32

400

What is the horizontal asymptote of 

y=3^x-2

y=-2

400

Solve for x

-2*7^(3x)+8=0

log(4)/(3log(7))

400

Which of the following is equivalent to 

2log_2(7)?

  

a.) log_3(49)

  

b.) log_2(49)

 

c.) log_2(14)

b.)

2log_2(7)=log_2(49)

400

Solve

log_4(x^2-12x) = 3

 for x

x=-4, 16

500

What is the vertical asymptote of 

y=ln(x-3)+12

x=3

500

Solve for x

3^(x+4)+7=19

x=log(12)/(log(3))-4=(log(12)-4log(3))/log(3)

500

Expand the logarithm

ln(2x^2yz^m)

ln(2)+2ln(x)+ln(y)+mln(z)

500

Solve 

log(x-4)-log(x)=1

we get 

x=-4/9

but when we check the solution, it doesn't work!

Thus: No Solutions!