Solving Equations
Graphs
Word Problems
Condensing /Expanding
Inverses
100

Write in log form: e^x = 36

What is ln36 = x

100

Draw the parent function a log

What is log graph A

100

What is the compound interest formula?

What is A = p ((1+r)n)^(nt)

100

Expand logb(m*n)



* = multiply

What is logbm + logbn

100

What makes a one to one function?

What is passing both horizontal and vertical line tests.

200
Solve for x; 1/81 = 9^(3x+4)

What is x = -2

200

Growth or Decay: f(x) = 3^x +5 

What is growth

200

Whats the exponential decay formula? 

What is f(x) = A(1-r)^t

200

Condense into 1 log; log2(7)+log2(4)

What is log2(28)

200

If it has one, find the inverse of function f^(-1), f(x) = 2(x+5)^(2) -2, 

What is no inverse

300

Solve for x; 7^(x-1) * 7^(x+3)= 7^(5x+1)


* = multiply

What is x = 1/3

300

Write the transformations for f(x) = 2(1/4)^(x-1)

What is Decay, vertical stretch by a factor of 2, right 1 unit

300

Parent function of f(x)= 2^x is reflected across the x-axis and shifted 1 unit to the right and 3 units up. Write the result of the transformation.

What is f(x) = -2(x-1) +3

300

Expans log5(1/3)

What is log5(3) - log5(1)
300

2 Functions are inverses graphically if ...?

What is they are reflections of each other when graphed over line; y=x

400

Expand the log: log5((m^(2) n^(3))^4

What is 8 * log5(m+12) * log5n


* = multiply

400

Find the domain, range, and asymptote of f(x) = log2x

What is domain x>0, range (all real #), asymptote x=0

400

Kevin spent $32,500 to purchase a new car, If the rate on the loan is 6% compounded annually, how much with he pay in total over 5 years?

What is $43,492.33

400

Expand ln(2/a^3)^4

What is ln16 - 12 * lna


* = multiply

400

Solve for (fog)(x)

f(x) = √(x+5); g(x) = x^2

What is √((x^2)+5)

500

Solve for k (1/2) * log8(36) + log8(3k+7) = log8(132)



* = multiply

What is k=5

500

Describe the transformations and key characteristics of f(x) = log1/2(x+9)+4

What is left 9, up 4, domain x>-9, range all real #, asymptote x=-9, end behavior as x approaches infinity, F(x) approaches infinity, as x approaches 0, f(x) approaches - infinity.

500

You purchase a car for $14,500 at a 3.75% interest rate compounded monthly for 6 years. How much in total will you pay the bank?

What is $18.152.31

500

Expand log3((x^2)(y^5)^3

What is 5*log3(x+8) * log3y

500

Find the inverse of the function f(x) = (x+2)/-7 verify algebraically and graphically,

What is f(x) = x