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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
Let (a_n) evaluated from n=M to infinity be a sequence of real numbers. Then the limit lim as n-->infinity of a_n exists and is equal to zero if and only if the limit lim as n-->infinity of the absolute value of a_n exists and is equal to zero.
What was the total rainfall for the first 6 months of City #1? What month in City #2 had the lowest amount of rainfall? What two consecutive months in City #2 was the rainfall the same amount?
Solve the given equation on the interval 0 ≤ θ ≤ 2π.
Anthony invested a sum of money 3 years ago in a savings account that has since paid interest at the rate of 8%/year compounded quarterly. His investment is now worth $30,437.80. How much did he originally invest?
Make the shape of the square.
find the maximum height of ball using given equation.suppose charlie o brian hits a baseball straight upward at 150
A conical tank (with vertex down) is 12 feet across the top and 14 feet deep. Water is flowing into the tank at the rate of 11 cubic feet per minute, find the rate of change of depth of water when the water is 6ft deep.
The vertices of the trapezoid are the origin along with A(4p, 4q), B(4r, 4q), and C(4s, 0). Find the midpoint of the midsegment of the trapezoid.
Use RAM to estimate the are region enclosed between graph of f and the x axis for a less than equal to x less than equal to b X^2-X+3 a=0 b=3
A firefighter aim a fire hose from 4 feet above the ground at a window that is 26 feet above the ground. The equation h=-0.01d^2+1.06d+4 models the path of the water when h equals height in feet
Using law of cosines for solving the problem.
Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first drawn from Box A and then another number from Box B. Using how many outcomes are in the event of getting both numbers even?
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