49-54 - Logarithmic Equations Solve the logarithmic equation for x, as in Example 7. 49. log x + log(x - 1) = log(4x) 50. log, x + log,(x + 1) = log, 20 51. 2 log x = log 2 + log(3x – 4) 52. In(x - ) + In 2 = 2 In x 53. log, 3 + log,x = log, 5 + log.(x – 2) 54. log.(x + 2) + log, 3 = log, 5 + log.(2r – 3)

Q: Use the one-to-one property of logarithms to find an exact solution for   ln(2)+ln(2x2−6)=ln(69)…

A:

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A:

Q: 51-56 - Combining Logarithmic Expressions Combine into a single logarithm. 51. log 6 + 4 log 2 52.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: derivatives of an exponential and a log function using chain rule and clearly show or explain how…

A:

Q: 4-4 %3D 256 log4 = -4 256 log 4 256 = 4 log i 4 = -. 256 log 1 -4 = 4

A: Givne that  4^-4=1/256 To Express the given exponential equation to logarithmic equation.

Q: 45–48 ■ Equations Involving Exponential Functions Solve theequation.

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Logarithm properties Use the integral definition of the natural logarithm to prove that ln(x/y) = ln…

A:

Q: 7–8 ■ Logarithmic and Exponential Forms Complete the tableby finding the appropriate logarithmic or…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. Exploration of the Quotient Law of Logarithms. Make and test a conjecture about the quotient law…

A: loga(x) loga(y) loga(xy) log232=log225=5 log28=log223=3 log2328=log24=log222=2 log327=log333=3…

Q: 4) 8 log b -log b²c CES * Laws of Logarithm Let b > 0, b # 1 and let y e R. For x > 0, y > 0, then…

A:

Q: S ve3v2-1dv

A:

Q: 87–88 ■ Special Logarithmic Equations Find the value(s) of xfor which the equation is true.

A: 88).  Given logarithm expression is logx+3=logx+log3. To find the value of x. Solution: Property of…

Q: 23–48 ■ Expanding Logarithmic Expressions Use the Laws ofLogarithms to expand the expression.

A: To expand the given logarithm expression. (23). Given logarithm expression is log38x. Laws of…

Q: The linearization of log3x a. Find the linearization of ƒ(x) = log3x at x = 3. Then round its…

A: (a)Given:

Q: 35-44 - Logarithmic Equations Use the definition of the loga- rithmic function to find x. 35. (a)…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 9–16 ■ Exponential Form Express the equation in exponentialform.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: LIMIT OF EXPONENTIAL FUNCTION 3x+5x5x-_3x   4x-1 1+x21-y2

A: Given function is: fx=3x+5x5x-3x⇒fx=5x+3x5x-3x⇒fx=1+35x1-35x Therefore by taking as limit of x tends…

Q: LAW OF GROWTH AND DECAY A bacteria culture increased 800% in 1 year. How long (in months) will it…

A:

Q: 25 The logarithm of a quotient of two numbers is the same as the ---Select--- v of the logarithms of…

A: The logarithm of the quotient of two numbers is the same as the subtraction of the logarithms of…

Q: 45-48 - Equations Involving Exponential Functions Solve the equation. 45. x2 - 2' = 0 46. x'10 -…

A: 45. Solve the given equation as show below: x22x-2x=02xx2-1=02xx-1x+1=0x=1,-1

Q: 87-88 - Special Logarithmic Equations Find the value(s) of x for which the equation is true. 87.…

A: Hello! Thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 45-50 - Expanding Logarithmic Expressions Expand the loga- rithmic expression. 45. log(AB³C") 46.…

A: The given expression logAB2C3

Q: 1 i : log,60 ' log, 60 log, 60 1 1 The value of

A: It is an important part of statistics. It is widely used.

Q: 57-58 - Graphing Logarithmic Functions Match the logarith- mic function with one of the graphs…

A: Given functions are f(x)=2+lnxf(x)=lnx-2

Q: Decomposition of Salt in Water Salt (NaCl) decomposes inwater into sodium (Na+) and chloride (Cl-)…

A: To find the value of the decay constant, k of the law of uninhibited decay, A(t)=A0ekt, substitute t…

Q: 49–54 ■ Logarithmic Equations Solve the logarithmic equationfor x, as in Example 7.

A: The logarithm is the inverse function to exponentiation. That means the logarithm of a given number…

Q: 24-29 Solve for x without using a calculating utility. Use the natural logarithm anywhere that…

A: According to our company answering guideline if question having multiple part is posted we can only…

Q: 8. ABSOLUTELY LOGARITHMIC The following information is given about a logarithmic function and an…

A: The logarthim function  is of the form fx=alog4x-h+kThe equation of the asymptote is x=100The…

Q: 34.Half-life decay model is the time it takes for to half of its original quantity. It is denoted…

A: Half life decay formula is, At=A012td

Q: log. ) 1) The conversion between exponential form and logarithmic form: Logarithmic form Exponential…

A: logarithmic problem

Q: 2. Exploration of the Product Law of Logarithms. Make and test a conjecture about the product law of…

A:

Q: sin x -1; 97 srs127. Solve Write sin 45° cos15° - cos 45° sin 15° as a single logarithmic function.…

A:

Q: Logarithmic Equations Solve the logarithmic equation for x. 55. In x = 10 56. In(2 + x) = 1 57. logx…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: 9) A person invests $100,000 at a nominal 12% interest per year compounded continuously. a) Write…

A:

Q: 9-16 · Exponential Form Express the equation in exponential form. • 9. (a) log; 81 = 4 (b) log; 1 =…

A: Answer 9(a): The given logarithmic equation is: log381=4 To write the given equation into…

Q: Show the solutions/computations needed to graph the function then identify its domain and range .…

A: As per our guidelines we only solve first question and rest of the question will be reposted.

Q: 25–28 ■ Logarithmic Form Write the equation in logarithmic

A: Given the equation a) 26=64.b)49-12=17We need to write the equation in logarithmic form.

Q: Use the one-to-one property of logarithms to find an exact solution for ln(7)+ln(7x^2−7)=ln(32).

A: Given,            ln(7) + ln7x2 - 7 = ln(32)

Q: 55–68 ■ Logarithmic Equations Solve the logarithmic equationfor x.

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Q: 69-76 - Solving Equations Graphically Use a graphing device to find all solutions of the equation,…

A: 69) lnx=3-x Graph: According to the graph solution of lnx=3-x is x=2.208 approx.

Q: 25-26 - Exponential Functions from a Graph Match the expo- nential function with one of the graphs…

A: 25. Consider the function, fx=5x+1 Solve the expression as, fx=5x+1=5x·51=5·5x At x=0 the function…

Q: logarithmic function of base 3 has a vertical asymptote at the line x=1. It's graph contains the…

A:

Q: Modeling with periodic functions: Cyclical exponential decay. A spring is attached to the ceiling…

A: Proceed as shown

Q: Modeling with periodic functions: Cyclical exponential decay. A spring is attached to the ceiling…

A: end of the spring blow equilibrium is given by :D(t) = 14(0.59761)t.cos(14πt)

Q: Graphs of Exponential Functions Formulas for the Graphs (1)" - ()" a. f(x) = b. f(z) = %3D -3-2-1 c.…

A:

Q: At the beginning of a study, a certain culture of bacteria has a population of 40. The population…

A: Explained below

Q: 53-56 - Finding Logarithmic Functions Find the function of the form y = log, x whose graph is given.…

A: Note: As you did not mentioned on which question you need help, we only allowed to help you on first…

Q: 55–68 - Logarithmic Equations Solve the logarithmic equation for x. 55. In x 10 56. In(2 + x) = 1…

A: Explanation of the solution is given below...

Q: Properties of Logarithms: Match each expression to the properties. Quotient Rule Product Rule Power…

A:

Q: 77–78 ■ More Exponential and Logarithmic Equations Solvethe equation for x.

A: We have to solve the equation for x: 77. 22log5x=116            78. log2log3x=4 We know the…