### Addition and multiplication of logarithms

I am unable to understand the concept of writing a single logarithim with a coefficient of 1. A sample problem was given and I have shown it below. ln3-2ln4+ln32

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I am unable to understand the concept of writing a single logarithim with a coefficient of 1. A sample problem was given and I have shown it below. ln3-2ln4+ln32

A) Solve the equation for x logx + log 4x=16 b) Rearrange to make x the subject y = 2logx

The Employee Credit Union at Directional State University is planning the allocation of funds for the coming year. ECU makes four types of loans and has three additional investment instruments. Each loan/investment has a corresponding risk and liquidity factor (on a scale of 0-100, with 100 being the most risky/liquid). The v

Express as a product: log7 4√[y]

Please see the attached file for the fully formatted problems.

An open box with a square base is required to have a volume of 27 cubic feet. Express the amount A of material that is needed to make such a box as a function of the length x of a side of the square base. I have A(27/x^2) +x^3....i have no clue to if this is correct.

How many days before 17th August is it, if 50 days ago, it was four times as many days since March 30th?

Locate the absolute extrema of the function on the closed interval. f(x) = -x^2 + 3x [0,3] [Answer is minimum at (0,0) and (3,0) and max at (3/2), 9/4) Locate the absolute extrema of the function on the closed interval. g(t) = t^2/t^+ 3 [-1,1] Answer Min (0,0) Max (-1, 1/4) (1, 1/4) Locate the absolute extre

1. If log3 12 = log4 x, then x = 2. If 6e^(n/3) = 5, then what is the value of n? 3. What is the definition of inversely proportion? I understand that in directly proportional problems you can set a ratio: x:12 = 34:32, but for inversely proportional what do I have to do? 4. Jules can make m muffins in s minutes. Alice can m

Consider the flow past a circular cylinder... Plot the pressure coefficient Cp along the surface of the cylinder versus θ for O≤θ≤ pi i What is the value of Cp at θ=5O° ii At what point around the cylinder's surface will the static pressure equal the freestream pressure. iii If one combines a so

50. Foxes and rabbits. The ratio of foxes to rabbits in the Deerfield Forest Preserve is 2 to 9. If there are 35 fewer foxes than rabbits, then how many of each are there? Page 379 Problem 40, 42 40. Envelope stuffing. Every week, Linda must stuff 100 envelopes. She can do the job by herself in 6 hours. If Laura helps

If , show that there is a measure on [0,1] such that for every polynomial of degree at most , .

I need to be able to convert between kilo, centi, milli, micro. Can you please give me examples and explanations I get some problems right but some I get wrong. For example my teacher had this problem 5.5 kg = 5500000000 mcg Can you explain this problem also.

An odd composite number is called a Carmichael number if a^(n-1) ≡ 1 (mod n) for all integers a with (a, n) = 1. Show that 1729 = 7 x 13 x 19 is a Carmichael number.

Find all critical points and determine the relative extrema of f(x,y)=1/3x3-x+xy2. (See attached file for full problem description)

Suppose wheat and sugar are two basic ingredients necessary to bake two items: a loaf of bread and a muffin. A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar. To bake each muffin, the baker need needs 0.4 pound of wheat and 0.16

Problem 19 Find the correct graph. Problem 20 Problem 29 Problem 30 Problem 42 Problem 47 Different interest rates. Mrs. Brighton invested $30,000 and received a total of 2,300 in interested. If she invested part of the money at 10% and the remainder at 5%, then how much did she invest at each rate?

Let f(x,y)=xy log(xy) if xy > 0, and define f(x,y) = 0 if xy = 0. Where, if at all, is f discontinuous? Please see the attached file for the fully formatted problem.

I'd like to know the deductive techniques to prove each. A short and correct proof for each is all that is required. OR please provide some help on how to solve them. Please see the attached file for the fully formatted problems.

1500 feet of chain link is to be used to construct 6 animal cages as shown below. Find the maximum value of this area and the dimensions that yield this area. The area is a rectangle were the side is x. The bottom is y. It is divided by dotted lines into 6 squares where the bottom and sides are x.

A field is to be marked off in the shape of a rectangle, with one side formed by a straight river. If 100 feet is available for fencing, find the dimensions of the rectangle of maximum possible area.

(See attached file for full problem description with symbols and equations) --- Find the slope of the line that goes thru each pair of points Draw line through with slope 1 and line through with slope 1 Draw L through and . What is the slope of any line perpendicular to . Draw through the origin so t

A rectangle is 3 times as long as it is wide. If the width is increased by 6 feet and the length is decreased by 3 feet the area is doubled. Find the dimensions of the original rectangle.

(a) How many check bits are needed if the Hamming error correction code is used to detect single bit error in a 5602-bit data word? Show procedures to support your answer. (b) In a system bus, data lines, address lines, and control lines are separated. Why? (c) How many base-3 digits does it take to obtain as many combi

Page 211 & 212 Write a formula that describes the function for each of the following. # 8 A developer price condominiums in Florida at $ 20,000 plus $ 40 per square foot of Living area. Express the cost C as a function of the number of square feet of living area S. # 10 With a GM Master card 5 % of the amount char

1. Find slope given the following points: (-1,-3) and (3,5) 2. Which quadrant are the following points located in: a. (-3,4) b. (2,-5) 3. Given the point (0,-3) and slope 2, find the equation of the line. Given the points (2,-5) and (-1, 4), find the following: 4. Slope and Y-intercept 5. Equation

Find the slope and y-intercept for each line that has a slope and y-intercept # 25 x + y = 5 # 47 x 3y #55 3 -- = --- y = --x --2 2 5 4 W

(See attached file for full problem description with function) --- Please explain why the following holds... (see function attached)

I am looking for the problems to be solve and the steps to solve the problems. I solved 4 of the 5 and I want to know if they are correct. I would like to understand how to do these problems. 6(x+1) - 4(2x-1) = 3-2(3x-2) -2x(5-3) = 3 - 2x(3-5) + 2(x+3) (1/2)(x-1) + (1/2)(3x+2) = 2 - 4x (-1/3)x + 6 >= -3x - 2 (3.2x

Find an exponential generating function for the number of distributions of r distinct objects into n different boxes with exactly m nonempty boxes.