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Graphing Exponential and Logarithmic Equations
Condensing/Expanding
Solving Logarithmic Equations
Solving Exponential Equations
Compound Interest and Growth/Decay Problems
100
The graph of y=bx requires these 2 things to be true about the number b.
What is b>0 and b does not equal 1.
100
log26 + log23 condensed.
What is log218?
100
The solution to log2(x-6)=log2(3x).
What is x=-3?
100
The solution to 5(3x-1) = 125.
What is 4/3?
100
In the formula A=5000e0.05t, this is the growth constant k.
What is k=0.05, or 5%.
200
The graph of y=log2(x-1)+2 is a result of these two transformations of the graph of y=log2x.
What is a shift right one unit and a shift up two units.
200
ln (x/y) expanded.
What is ln x - ln y?
200
The solution to log3(x2+2x+4)=1.
What is x=-1?
200
The solution to 5(2-x) = 1/125.
What is 5?
200
Your investment is modeled by the formula A=P(1 + 0.05/4)4t. These are the interest rate and the compounding factor.
What are 5% and quarterly (4 times a year)?
300
True/False: The graph of y=2x has an x-intercept of 1.
What is FALSE. (The graph has a y-intercept at 1, but NO x-intercept)
300
4log2x+2log2y condensed.
What is log2(x4y2)?
300
The solution to e(4x-5)=7 in terms of natural logs.
What is x=(ln7+5)/4?
300
The solution to 9ex = 107.
What is ln (107/9) = 2.48?
300
The equation A=127.3e-0.006t models the population of Japan, in millions, t years after 2010 . This is the estimated population of Japan in 2015.
What is 123.5 million?
400
This line is an asympote of the graph of y=log3x.
What is the line x=0 (or the y=axis).
400
log3(9xy2/z) expanded.
What is 2+log3x+2log3y-log3z?
400
The solution to log(x-2)+log 5 = log 100.
What is 22?
400
The solution to 7(x+2) = 410.
What is (ln 410 / ln 7) -2 = 1.09?
400
The decay model A=16e-0.000121t models the amount of a radioactive element present after t years. The original amount present is 16 grams. This is how many years it takes for there to be 8 grams present.
What is 5,728.5 years?
500
The graph of the function y=ln(x) crosses the point (e, ____).
What is (e, 1)?
500
log216+log3(1/3)-ln e4.
What is 4+(-1)-4 = -1?
500
The solution to 6 ln(2x) = 30
What is e5/2?
500
The solution to e(5x-3)-2 = 10,476.
What is (ln 10478 + 3)/5 = 2.45?
500
The half-life of aspirin in your bloodstream is 12 hours. How long will is take for the aspirin to decay to 70% of the original dosage?
What is 6.2 hours?