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For all problems, write the problem and then delineate the step-by-step process necessary to solve the problems.
Solve each logarithmic equation-
1. ln(3x+1) - ln(5+x) = ln2
2. 2ln(x-3) = ln(x+5) + ln4
3. Log x - Log(x+4) = -1
4. Log3(y+2) = Log3(y-7) + Log34
5. Log x + log(x-9) = 1
Solve these exponential equations without using logarithms-
6. 2x-1 = 8
Use Logarithms to solve these exponential equations-
7. e3x = 6
Solve these equations-
8. log3(a-3) = 1 + log3(a+1)
9. log2√2y2 -1 + 3/2
10. 2x2 -1 = 10
A bias coin is tossed four times. If probability of head in a single toss is 0.61, find the probability of
a couple just had a baby.how much should they invest now at 5.5% compounded daily in order to have $40,000 for the child's education 17 years from now? compute the answer to the nearest dollar.
What is an real world object that has a volume between 150 and 400 cubic inches?
a study by the information technology department at wpu revealed company employees receive an average of four e-mails
your submarine is "safe" when it is below y=-300meters. At time t=0, was your submarine safe? explian how you know. for t
Find the distance of the ship from the lighthouse.
Consider an experiment that involves repeatedly rolling a six-sided die. Which of the following is a binomial random variable?
A company wishes to manufacture a box with a value of 28 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minumum amount of material.
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
If there has beena 10 percent increase in consumer income between two periods, what was the percentage change in the demand for foreign travel? For tobacco products? For flour?
estimate the distance that the bug crawls during this hour. Find an overestimate and an underestimate. Then average the two to get a new estimate.
a man wandering in the desert walks 2.6 miles in the direction s 35degw. he then turns 90deg and walks 3.4 miles in
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