For the following exercises, rewrite each equation in logarithmic form. 17. c ^d = k 19. 19^x = y 21. n^4 = 103

Q: dy (x² + 1)? if y = 2) Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

A: Here we have to find the the derivative of y

Q: Solve for æ: log(x + 2) – log(x + 1) = 1 You may enter the exact value or round to 4 decimal places.

A: here we will solve for x,

Q: What is the decibel level of the noise from a motorcycle with intensity 10−2 watts per square inch?…

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Q: Express the equation in logarithmic form: (a) e" = 3 is equivalent to In A = B. Then %3D and

A: (a) Given expression. ex=3

Q: solve for x by converting the logarithmic equation to exponential form  log36(x)=1/2 x=

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Q: How can I rewrite this expression as a single logarithm?

A: In this question we will use some basic log rule such as, logba+logbc=logbac logba-logbc=logbac…

Q: Express in terms of logarithms of x, y, z, or w.

A: Given :            loga y5 w2x4 z3  To express loga y5 w2x4 z3 in terms of logarithms of x, y, z…

Q: Find the time it takes for $9,400 to double when invested at an annual interest rate of 6%,…

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

Q: Differentiate the Logarithmic function: y = 3 ln square root of x

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Q: The loudness of sound is measured in decibels so that the decibel measurement is db = 10 log L where…

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Q: Differentiate. y = log 5 (1 + 2x)

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Q: Suppose $14000 is invested at 7% interest compounded continuously. How long will it take for the…

A: Consider the provided information P=14000r=0.07A=28000 Find the value of t.

Q: Express log (x²/y°) + 4 log y - 6 log Vxy logarithm. as one

A: Given expression is,  logx2y3+4logy-6logxy. It is simplified as follows: logx2y3+4logy-6logxy Apply…

Q: How long does it take to double a $20,000 investment in value when compounded continuously at 10%…

A: Given :  Investment =$20,000 interest rate =10% Formula for continuously compounding,…

Q: Y = log, (x-s) 3.

A: As we know from the logarithmic property; If logba=c;  b>0,b≠1,a≠0 then bc=a

Q: In(x + 1))

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Q: y = v4x + 3 log2(x² + 2)

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

Q: Use logarithm properties to find if

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Q: y = (cos(x²))* -2 Co:

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Q: Find the value of y:  logy32=5

A: Given, expression

Q: Differentiate implicitly to find y' log3 (x). tan cy+ 1) = y2 %3D

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Q: =xpress the number sinh in terms of natural logarithms- 84 -

A: Given: sinh-1-1384

Q: In the year 2006, the age-adjusted death rate per 100,000 Americans for heart disease was 238.5. In…

A: (a) Let exponential model for the given data will be, Dt=D0e-λt, where Dtis death rate 100,000…

Q: (x² – 4)3 y = (2 — х3)2

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Q: Express the quantity as a single logarithm.

A: Given 13lnx+23+12lnx-lnx2+3x+22 The properties of logarithm used here are…

Q: It is estimated that 20% of a certan radioactive substance sbrays in 30 hours. What is the half-life…

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Q: What is the decibel level of a whisper with intensity 10^-10 watts per square inch? Use a…

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Q: Express the solution in terms of logarithmics

A: Here given Taking ln both side we get

Q: y=10x log10 X differentiate?

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Q: Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building…

A: Here we use property of logarithmic function.

Q: Solve the logarithmic equation for x. log(9 – x) = 2 – log,(-x) 3D2

A: To solve the given logarithmic equation for x.

Q: The logarithmic function that models the data, is y = -676.566 + 249.889 ln(x), where x is the age…

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Q: Differentiate. y =9* . log 7x (g*. log 7×) • log 7× dx

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Q: when expressed as a single logarithm: ln(y + 2) - (2ln6 + ln x) becomes

A: We make the coefficient into an exponent

Q: Find dg Using Logarithmic differentation y =3 2x +1

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Q: Solve for : log(x + 5) – log(x + 4) = 2 You may enter the exact value or round to 4 decimal places.

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Q: Calculate: 4 log,5 logg27

A: Given: To Find: The exact value of the given expression

Q: Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building…

A: Given f(x) =2xand strength is 8 Pascals

Q: Suppose $13000 is invested at 10% interest compounded continuously. How long will it take for the…

A: Solution Given Suppose $13000 is invested at 10% interest compounded continuously  we need to…

Q: 7 log, (u5)

A: We need to evaluate the value of the following expression log557

Q: Differentiate y=3*log*

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Q: Select the pair below which shows the correct conversion from logarithmic form to exponential form.

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Q: The rate of auto thefts doubles every 6 months. Determine, to two decimal places, the base b for an…

A: We have to find base b and  tripling time to the nearest tenth of a month.

Q: Express in terms of logarithms of x, y, z, or w.

A: Given: log4z3

Q: Differentiate. y= log 7x dx log 7x=

A: y=log7xTo differentiate.

Q: Condense the logarithmic expressions on the image attached.

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Express single logarithm: log; x + 2 log, y – 3 log; z as a

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Q: The relation between the number of time in days, D, it takes for a planet to revolve around the Sun…

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