Graphing
Solving Equations
Log Laws
Natural Logs
100
Is this an example of exponential graph: y=2x.
No.
100
Write the number as a power of 3: √ (243)
35/2
100
Write the following logarithmic expression as an exponential expression: log28=3
23=8
100
Solve this logarithmic equation in exact form:
ln x=π <-pi
x=eπ
200
Is this an example of an exponential graph:
Yes.
200
Solve this equation: 3x+2=81x-1
x=4
200
Name the following log law used: logbx+logby=logbxy, b>0, b≠1.
Product Rule
200
Solve this logarithmic equation in exact form: 2 ln x=8
x=e4
300
Is the following function increasing or decreasing, and why: y=3(2-x+2).
Decreasing, coefficient of the exponent is negative.
300
Solve this equation: 4x=256x
x=0
300
Write this logarithm in terms of loga, logb, and logc: Log((a2b1/4)/c3).
2loga + 1/4logb - 3logc
300
Use natural logarithms to solve the exponential equation: 2=8e2x
ln(1/4)=2X, 489
400
Following the trend of the points (-1,4) and (0,1), what would the y-value be at x=2?
0.0625
400
Evaluate the logarithm: log8(2∛ 2)
4/9, p.428
400
Write the expression as a single logarithm: log35-log3y+2.
log3(45/y)
400
Solve the logarithmic equation: 2 ln x = ln (2x+3)
x=-1,3 p.490
500
Compared to the graph of y=2x, does the graph
y=3(2-x+2) vertically stretches, or compresses, and by what factor.
Vertically stretches by a factor of 3.
500
Solve for x: 2=log4(x+3)+log4(x-3)
x=-5,5
500
Evaluate the expression: 3log96-log972
log9216-log972->log9216/72->log93->log331/2=1/2
500
Solve in exact form: -(3 ln x)/(ln 2) = 12
x=1/16