Log Graphs
Log Rules
Solving Exponential Equations Using Logs
Solving Log Equations
Riddles
100
What is the Domain of the following Graph
(-2,infty)
100
Using log rules expand the following expression:
log(ab^3)
log(a)+3log(b)
100
Solve: 5(7)^x=1650
to the nearest hundredth.
x=2.98
100
Solve: log(x)+log(x+3)=1
x=2
100
I have hands but can’t clap, and a face but no eyes.
A Clock
200
What is the inverse of
y=3^x
y= log3(x)
200
Using log rules expand the following expression:
log(sqrta/b)
1/2 log(a)-log(b)
200
Solve: e^(x/3)=0.65
to the nearest hundredth.
x=-1.29
200
Solve: 2log(x)=log(2x+15)
x=5
200
I speak without a mouth and hear without ears. I vanish as soon as you chase me.
An Echo
300
What is the asymptote of y=2log2(x+4)+3?
X= -4
300
Using log rules, rewrite using one log:
3(logx+logy)
log(xy)^3
300
Solve: 2(3^(x+4))=56
to the nearest hundredth.
x=-0.97
300
Solve: ln(x^2+3x)-ln(4x+20)=0
x=-4 and x=5
300
You can keep me or break me, but you can’t throw me away.
A Promise
400
Which Statement about the graph of y=log6x is false?
1) The graph has no y-intercept
2) The domain is the set of positive real numbers
3) The asymptote has equation y=0
4) The range is the set of all real numbers
3) The asymptote has equation y=0
400
If loga=x,logb=y andlogc=z then express log (sqrta/(bc^2)) in terms of x, y, and z.
1/2x- (y+2z) or 1/2x-y-2z
400
Mike's parents gave him $5,000 to invest for his 16th birthday. The account will pay 4.6% compounded quarterly. Determine algebraically, to the nearest hundredth of a year, how long it would take for the account to triple Mike's initial investment.
x=24.02
400
Solve: log(sqrt((x+3)^3))=3/2
x=7
400
Use the numbers 2, 3, 4 and 5 and the symbols + and = to make a correct equation.
3 + 4 = 2 + 5
500
Which statement below about the graph of f(x)=-log(x+4)+2 is true?
1) f(x) has a y-intercept at (0,2)
2) -f(x) has a y-intercept at (0,2)
3) As x->infty, f(x)->infty
4) As x->-4, f(x)->infty
4) As x->-4, f(x)->infty
500
If x=(m^2n)/(psqrts) , express logx in terms of logm, logn, logp, logs
2logm+logn-(logp+1/2logs)
500
A radioactive substance decays continuously 4.375% per year. If you start out with 120 grams of the substance, what is the half life of this substance?
x=15.84
500
Solve: log2 (9x2+30x+25)=8
x=11/3 and x=-7
500
The day before two days after the day before tomorrow is Saturday. What day is it today?
Friday