Example 2: Solve the following equations for x. a) log, 30x-log₂ 5 = log₂ 12 b) log (2x+1)+log(x-1) = log 9 c) log, 2x+-log, 9=2 +-log d) log, (x+1)+log, (x-5)=1

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A: Given that :- An equation of variation where y varies Jointly as x and z and inversely as the square…

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A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

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A: The given functions are  f(x)=8x+5 and g(x)=x2

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Q: 8) 8x + y = -4 65 -4 -3 -2 -1 ir 3 N www. -2 ? Y 5 A 70 6 x

A: To graph the given linear equation.

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A: Given query is to simplify the expression.

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A: Topic = Algebra

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A: Given equation, 2x + 5y = -5

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A: The given function: fx=5x3-7.We need to test whether the function is even or odd.

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Q: The angle between a and b is 120° and |a| = 3|b|. Determi- ne the value of the scalar λ such that…

A: Given:- a+b and a-λb  are perpendicular to each other and angle between a and b 120°

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Q: Solve for x in the following equations. 3. log9(x² + 12x) − log27(x² + 12x) = log3 2 -

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Q: 4. 9X 8 x-1 8

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Q: Reduce the following to the lowest terms. Show how to calculate the greatest common divisor by the…

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Q: 8. ++ din 1+ -3+ *1 Sketch the graph of f(x) = log3 -(x-4) 123 56

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Q: Suppose you invest $180 a month for 5 years into an account earning 9% compounded monthly. After 5…

A: Given A = 180t =5 years rate ( r ) = 9 % compounded monthly n = 12 let FV = future value FV = A ( 1…

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A: see below the answer and explanation

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Q: Fully expand the following logarithmic expression into a sum and/or difference of logarithms of…

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Q: -6 e) Test for even and odd symmetry. For full credit, you must find f(-x) and -f(x), then state Yes…

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Q: 23. Solve. Write your solutions in interval form 2x - 7 x² +7x+12 <1

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Q: Find the solution of with y(0) 3 and y' (0) = 8. y = y" + 3y = 108 sin(3t) + 36 cos(3t)

A: see below the answer and explanation

Q: 6. Make Sense and Persevere Glen compares the rates of change of two linear functions represented in…

A: as per the rules we are supposed from the first question and rest can be reposted.

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Q: Solve for x in the following equations. 3. log, (x² + 12x) - log27 (x² + 12x) = log: 2

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Q: Evaluate. Answer in scientific notation. (3 × 10⁹) (5 × 106) X

A: Multiply 3 and 5. Add the powers of 10.

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A: Given function G(x)

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Q: If: y = f(x) = k ( 2²2²- a²x²-b² ax-b Find the limit of y as x tends to b/a for a = 6.6, b = 0.8, k…

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Q: The path of a diver is approximated by the following, where y is the height (in feet) and x is the…

A: y = −(4/9)x2+(24/9)x + 11 On comparing with ax2+bx+c a=-4/9, b= 24/9 and c=11

Q: The graph shows the relation between the monthly cost of a certain cell phone plan and the number of…

A: solution:-Given points on the graph are:(x1, y1)=0, 42.99(x2, y2)=600, 42.99slope…

Q: Solve for x in the following equations. 1. 32x+32 = 9x+1

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Q: (a) Write down the 4 x 4 permutation matrix P such that multiplying a matrix on the left by P causes…

A: It is given to write the 4×4 matrix P such that multiplying the matrix on the left by P causes the…

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Q: Are the vectors Choose 2 -5 1 80-8- 3 + -5 If they are linearly dependent, find scalars that are not…

A: NOTE: Refresh your page if you can't see any equations. . write all 3 vectors in the matrix A

Q: Graphing Linear Equation in Standard Form

A: given 2x+y=4

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A: Let Gross pay of Malcom's is $x