Geometric Sequence and Series
Logarithm Properties
Exponential Form
Solving Log Equations
Logarithmic Form
100
What operation (addition, multiplication) do geometric sequence and exponential functions have as their constant rate of change?
What is multiplication?
100
Simplify the following: loga(a^3)
What is 3?
100
What does b have to be in order for y=a(B)^x to be considered exponential decay?
What is 0
100
log6(x-4)=2
What is x=40?
100
Evaluate log4(57).
What is 2.92?
200
Which sequence is geometric? A. 5, 8, 11, 14 B. 5, -2, 20, -5 C. 4, 8, 16, 32 D. 6, 0, -6, -12
What is C?
200
True or False? Logb(b)=1
What is true?
200
Solve: 5^(4x-2)=5^(2x+10)
What is x=6?
200
Solve: ln(x+5)=3
What is x=15.09?
200
Solve: log7(x)=2
What is x=49?
300
Find the 20th term of the following geometric sequence: 2, 4, 8, 16...
What is 1048576?
300
Simplify: e^lnx
What is x?
300
Solve: 5^(n-3)=130
What is n=6.02?
300
Solve: 4+3e^(-4x)=22
What is x=-.45?
300
Solve: log3(27)
What is 3?
400
Find the first 4 terms of the following sequence: an=5(2)^(n-1)
What is 5, 10, 20, 40?
400
Expand: log (x^2y/z^3)
What is 2logx+logy-3logz?
400
9^(3x-5)=81^(2x+5)
What is x=-15?
400
Solve: log6(x-2)+log6(9)=2
What is x=6?
400
Write in logarithmic form? 5^3=125
What is log5(125)=3?
500
Find the sum of the first 10 terms in the following geometric series: 1 + 3 + 9 + ....
What is 29524?
500
Simplify: log4(54)-2log4(3)
What is log4(6)?
500
logx(64)=3
What is x=4?
500
Solve: ln(x-4)+ln(x+3)=ln8
What is x=5?
500
log5(x-7)-log5(x)=3
What is x=-1/124?