Expand log2 (2) as a sum and/or difference of logarithms without exponents.

Q: Solve for the following problems and show your solutions:

A: answer is in next step

Q: Given: f(a) = a Find f(g(a)) + 3 and g(a) = 4a f(g(a)) =

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Q: se-2 log table (printed in

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Q: Determine the slope, if it exists, of the graph of the given linear equation. 1 f(x) = -3x+5 1 A. m…

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Q: Question 1 Explain that (AB)" = BT AT 21 A = 0 1 3 402 1 and B = 2 0 -1 1 1 -2 1 3

A: Let's find.

Q: Next q Solve the system, if possible. 2x-7y=3 7x + 2y = 37 Select the correct choice below and, if…

A: Given :2x-7y=37x+2y=37

Q: given G=             find G * GT 9 10 6 3 -2 -6 -1 -7 8

A: Given    Transpose Matrix

Q: Numerical Methods Subject Given the following matrices

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Q: The minute hand on a clock is 9 centimeters long. In 10 minutes, how far does the tip of the hand…

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Q: The average cost per set for the production of television sets is given by 810+10x+0.1x² C(x)= where…

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Q: 1. Given the following matrices: [1 1 0 11 [1 1 2 1 2 1 0 1 0 1 4. a. [(AC) BT] - DT. b. [(BD) TCT]A…

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Q: A sum of $6,000 deposited in an account grows to $7,500 in 6 years. Assuming annual compounding,…

A: To find the interest rate .

Q: If possible, find A + B, A − B, 5A, and 5A − 3B. (If not possible, enter IMPOSSIBLE in any cell of…

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Q: Suppose that the functions fand g are defined as follows. f(x)=(-2+x)(-6+x) g(x)=1-x (a) Find…

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Q: A rectangular auditorium seats 17501750 people. The number of seats in each row exceeds the number…

A: This question is based on solution of quadratic equation.

Q: Four functions are given below. Either the function is defined explicitly, or the entire graph of…

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Q: Find the real solutions of the following equation. 8t+9 = -9 Select the correct choice below and, if…

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Q: Suppose that the functions r and s are defined for all real numbers x as follows. r(x)=2x-6 s(x)=x-4…

A: Given: Now, (s-r)(x)=s(x)-r(x)           =(x-4)-(2x-6)           =-x+2 (s.r)(x)=s(x)r(x)…

Q: Given the following table with selected values of f (x) and g(x), evaluate f (g(3)). X -4-3 0 3 5 8…

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Q: If [2x 3] 23 1. 2 13 2. 2 3. 4. - 13 2 23 2 1 2] [x] -3 08 = 0, then the value of x is

A: 2x312-30x8=02x-94xx8=02x2-9x+32x=02x2+23x=0⇒2x2+23x=0x(2x+23)=0⇒x=0 or 2x+23=0⇒x=0 or x=-232

Q: Number of Voters 16 11 12 4 1st Choice A B D A 2nd Choice D D B B 3rd Choice B A C C 4th Choice C C…

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Q: 3 Given: q(x) = 6x and r(x) = 5x + 1 Find (r. q)(x)

A: We have to find the function

Q: Use the given graph of the function ƒ to find the following values for f-¹. f

A: We are asked to find the inverse of the function.

Q: 55 ×13

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Q: he hyperbola with the equation

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Q: 42x+4 x 644-x = (1/256)*-2

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Q: Which angle is vertical to ZFBG? D A C H B G E F

A: We can find the vertical angle as below.

Q: Each person in a community was asked, "What is your favorite type of pet?" The circle graph below…

A: We have to find the category was chosen by approximately one-eighth of the community, approximately…

Q: Which of these are equivalent to log(7x) + log(6x)? Select all that apply. log(42x²) log(13x) 2…

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Q: 6. Choose the correct answer. Which of the following equations has no real roots? O x² + 4x x² + 4x…

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Q: A sales agent is offered two salary options. Option 1 is a starting salary of $70,000 plus 13% of…

A: topic - linear equations

Q: (4) Evaluate the following 36 (b) (√900)³ -8y05 (c) 4y9t11 (d) Add 5x² - 7x + 3, -8x² +2x-6 and…

A: To find the values of the given expression in simplified form.

Q: Does the relation in the table represent direct variation, inverse variation, or neither? If it is…

A: This question can be solved using the concept of establishing relation between two quantities.

Q: Find the truth value of the following implication! 1. If log 5 + log 15 = log 20, then log 15-log 5…

A: We have to find the truth value

Q: A rectangular auditorium seats 1750 people. The number of seats in each row exceeds the number of…

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Q: verify (1-1) and that (1-1)(1)- a. Verify

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Q: Allison earned a score of 150 on Exam A that had a mean of 100 and a standard deviation of 25. She…

A: Allison earned a score of 150 on Exam A that had a mean of 100 and a standard deviation of 25. She…

Q: (a) Give the order of the matrix. (b) Classify the matrix as a square matrix, row matrix, column…

A: The order of the matrix is defined as the product of the number of rows and number of columns. A…

Q: f d(x, y) denotes the distance between two points

A: answer is in next step

Q: Plot points between and beyond each​ x-intercept and vertical asymptote. Find the value of the…

A: Plot graph by finding asymptotes.

Q: Faisal is conditioning all winter to prepare for his college's hockey team tryouts. He is…

A:

Q: DeAngelo Bank offers your firm a discount interest loan with an interest rate of 6 percent for up to…

A: We need to find effective annual interest rate.

Q: A paper weight glass holder is a rectangular prism that is 4 inches long, 3 inches wide and 1.5…

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Q: (a) Find the value of x in the following equation +2x = + 72 (b) Express the following as a single…

A: Please see the answer below.

Q: 5 The function f(x) = is one-to-one. 3+x (a) Find its inverse and check your answer. (b) Find the…

A: Explanation of the answer is as follows

Q: 10. Lydia will derive the formula for the series Sa+ar+ar+ar+ Omultiply both sides by r add r to…

A: The series is given by S = a+ar+ar2+ar3+···+arn To determine: Lydia's first step to derive the…

Q: Complete the table shown to the right for the population growth model for a certain country. The…

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Q: 3. Quadrature: (a) Use two point Gauss-Legendre quadrature to approximate [²*cos(x²) dr. (b) How…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER…

Q: Suppose that the functions u and w are defined as follows. u(x)=x² +6 w(x)=√x+9 Find the following.…

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Q: An artifact contains 42% of the Carbon-14 that it originally had. How long ago was the artjfact…

A: Use the carbon dating method to know the age of the artifact.