Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible. log 2 x+ ... - log 2(x + 3) 4 - log 2 x+3

Q: 2. If a, b, c, d > 0, use the properties of logarithms to simplify and then find the exact numerical…

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Q: How many quarts of pure alcohol should be added to 10 quarts of 10% alcohol solution to obtain a…

A: Solving the problem by finding the value of pure alcohol.

Q: Find the volume of the figure. 7 cm 4 cm 4 cm The volume of the figure is

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Q: If A =     -5   1     and   B =    3    -6                 3   2                       2    -3…

A: Given Problem:- A=-5132 and B=3-63-3 To find:- A2

Q: evaluate z=e^(4+3i)ln(6∠30)

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Q: 16,000 organisms initially and decreases by 3.9% each year.

A: answer of given question is in step 2

Q: graph'the Sorution to the follow imy inginequratityon animber line nur (x-2) (x+5) z O

A: Solving the problem by doing the graph.

Q: 1. Express the car's value, in dollars, as a function of time d, in decades, since purchase. 2.…

A: Follow the procedure given below.

Q: Use the two given functions to write y as a function of x. x+6 y = 4m - 6, m = 4

A: We can write y as a function of x in the following steps.

Q: A women invests part of the $10,000.00 at 8% annual interest and the rest at 9%. Her annual income…

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Q: Write the first six terms of the arithmetic sequence shown below. an = an - 1-9, a, = 28 .. a1

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Q: Given the following sets:  Describe the set (C ∩ A’ ) using listing method U = {-5, -4, -3, -2, -1,…

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Q: Let A be a 3×3 matrix such that 2 Nul (A) = Span 2 -31 2 is a solution of the matrix equation 0]…

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Q: What is the number of real roots of the equation 2x + 3x =- 4?

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Q: Jon Deposits $4,500 into an account paying 7% annual interest compounded quarterly and Sara deposits…

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Q: A =     -5   1     and   B =    3    -6                3   2                       2    -3  a)…

A: Given: A=-5132   Definition: if A=abcd then determinant of A is |A|=ad-bc

Q: use 'Descartės ruie' of signs +0 determine the possible #s Of @ g(x) = 4x4-lox3-3x 2'+8x+8'…

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Q: Write a formula for the general term (the nth term) of this arithmetic sequence. Do not use a…

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Q: Find the perimeter of the regular polygon. Express the perimeter using the same unit of measure that…

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Q: Last year, a computer store sold a laptop for Php 20,000. Now the same laptop is sold with a markup…

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Q: How many ounces of pure silver should be added to 80 ounces, 75% pure, to obtain a mixture of 80%…

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Q: + 22x + x - 12 Use synthetic division to simplify x + 1 Write your answer in the form q(x) + where…

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Q: What i f the vertex? what is the equation of the line of symmétry of ģ har a minimum or maximum of…

A: The given equation,       g(x)=12x2+2x-2

Q: for 7-9 state yes or no whether each pair of expressions are equivalent. 7. 9r-6r and 6r - 9r 8.…

A: 7. 9r-6r and 6r - 9r here 9r-6r = 3r        6r-9r = -3r so both not same or not equivalent   8. 11c…

Q: Solve the given equation by hand.  log(x) = 4 what is x?

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Q: Find a basis for the row space and the rank of the matrix. 2 0 0 1 (a) a basis for the row space 1.…

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Q: Classify this polynomial. 218 - 9t6 binomial monomial trinomial none of these Submit

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Q: 4. Use completing the square to solve x² – 14x = 23

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Q: nswer on 1. Find all the roots of 2x* + x – 8x2 – 4x = 0 | x = -2, x = -0.5, x= 0, x = 2 Bx= -2, x =…

A: Given query is to find the roots of the expression.

Q: =D2

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Q: When factoring 5x18 + 49x9 – 10 ,  by substitution, Let u = ______________. Please answer what u is…

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Q: Find the circumference and area of the circle. Express answers in terms of x and then round to the…

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Q: 9. y = (2x2 + cotx)³ O a. y' = 3(2x² + cot(x))² (4x – csc²(x)) O b. y' = 3(2x²+ cot(x))² (4x –…

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Q: The cost C of steel tubing varies jointly as its length L, in feet, and diameter D, in inches. If a…

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Q: +6 -+5 +2 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +-1 -2 -3 -4 -5 A) (5, -3) B) (3, 5) First K Вack P

A: Solution is given below:

Q: 2) Solve the following system of linear equations by using Cramer's Rule. 2x+0y+12 z= 5 0x-5y+9z- 20…

A: Solving the problem by cramer rule.

Q: An air-conditioning and heating company has a fixed monthly cost of $4000. Furthermore, each service…

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Q: reducible to exact method 1- (4xy + 3y² – x)dx + x (x + 2y)dy = 0 %3D

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Q: 1 12 A = B = C = D = 0 -2 2 4. -1 112 2. 6 520 O11- 1210

A: The given matrices,A=1101121221112014B=131082-223C=161350422-10-5D=21-1001023214

Q: Find a formula for the exponential function passing through the points (-3, ) and (3,250) 125

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Q: Wite the factored fom of the polynomial function with real coe-fficients, a lead cofficier ot l, $…

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Q: Graph the inequality x+3>=0

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Q: the voiime v of a fixed amount of gas. varies directly as the temp erature T and inversely as the…

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Q: 2 Graph the line through the point (1, –2) having the slope 3

A: Follow the procedure given below.

Q: Solve the following equation for C: F=9/5C+ 32

A: For solve for C we need to put F =0.

Q: owed by 1 Two Year Rotation. lowed by 1 Four vear Rotation.

A: 1 year -  Principal = 1000 dollar , interest = 10%  A=P(1+rt).    =1000(1+10/100×1)   =1000×11/10…

Q: 9. Solve for x: 2 (1)- 1 3x+4 x-3 (2) 2(32x+1) = 54 (3) e2x – 2e* – 15 = 0

A: Since you have asked questions with multiple sub parts so according to guidelines I have done first…

Q: Using matrix method solve the following simultaneous equations  5x + y = 9 2x – 2y = 6

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Q: 25 m 25 m Find the area of the figure. 16 m 9 m 9 m 48 m ... A= (Simplify your answer.) O Time…

A: Given problem:-

Q: An antique clock is expected to be worth $350.00 after 2 years and $530.00 after 5 years. a) Find…

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