In Problems 5–7, solve each equation. 5. 3' = 243 6. log,16 = 2 7. logs x = 4

Q: 36. 2.) l03,15) log 10

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Q: Solve to 3 decimal places. log ¿ (3x–4) =8.7 a) b) 4 =9

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Q: How can the mortality force be changed for the share of newborns who will survive the first year…

A: For yearly compounded,        P=P0 1+rnt   where,        n=1        and r=rate of changed…

Q: How long (in years) will it take a $300 investment to be worth $400 if it is continuously compounded…

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Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

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Q: If the initial mass of an Potassium was 159 grams will remain after 16 hours is 39.75 grams, then…

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Q: A certain radioactive element decays over time according to the equation where 4= the number of…

A: Solution attached below

Q: Solve: [Cax+3)*D²+6(2z+3)D +bJy 18 log (az+3) 22+3 2x+3 y = 22+3 alog.cax+3) -4

A: The given equation is: 2x+32D2+62x+3D+6y=18log2x+3 Calculate the value of y.

Q: Solve the following equations. 7+2 ln x = 6 log, (x+1) = 2 log, (2x – 3) = 3 4 In(3.x) = 8

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Q: In Problems 5–44, solve each logarithmic equation. Express irrational solulldNs In CAuoi ji 6. log…

A: We will solve the given question using logarithmic identities listed on the side of the step they…

Q: In Problems 14–19, solve each equation. 14. 5*+2 = 125 15. log(x + 9) = 2 16. 8 - 2e* = 4 17. log(x…

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

Q: create 2 sample word problems of integral leading to exponential and logarithmic functions with…

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Q: The half-life of carbon-14 is 5730 years. How long does it take for 3.4 grams of carbon-14 to be…

A: We have to find

Q: Solve the following equations 1. 4x+8= 16x 2. 32x+4*3x-21=0 3. 4-log(3-x)=3

A: 1) Given:       4x+8= 16x       4x+8= 42x       4x+8= 42x Here bases are equal, so power should be…

Q: Solve the following: 1 (1) 2*-6 8 (ii) log,(x+3)=1- log,(x-1) =-

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

A: Given that  log(x + 5) - log( x + 4) = 2  We need to solve this equation for x.   As we know that…

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

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Q: Problem 7. Solve the equation logx+log(x+1) = log12 and leave your answer in exact value

A: Solve for the value of X

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

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Q: In Problems 26–28, write each expression as a single logarithm. in() + in) - in(c² 1) 1 26. 3 log,…

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

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

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Q: 17. Without using a calculator, solve each of the following: |4*+3 V 16* log, (x+3)+ log, (x-3)=2 b.…

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Q: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

Q: One of your classmates used Chegg.com to solve the equation 3^2x-1= 4^3+x and was given the…

A: Given: 32x-1=43+x

Q: How long (in years) will it take a $300 investment to be worth $400 if it is continuously compounded…

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Q: log, 5= 0 1 O 6 8. 0 7 O 5

A: To find

Q: 33. In 8 In Problems 37-56, write ec 37. log, 36x 41. In(ex)

A: Kindly keep a note in step 1️⃣ stating that as per our guidelines we are supposed to answer only 1️⃣…

Q: 1. Solve the following equations a. 4x + 3 = 210 b. 7x - 1 = 3 c. log(8x -15) - log3 = log(2x +…

A: Note : There are many questions. So I will answer the first questions.            Please send other…

Q: Solve the following equation for x: log3(ln(x)) = 2.

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Q: How long (in years) will it take a $200 investment to be worth $900 if it is continuously compounded…

A: We need to find time when $200 will be worth $900.

Q: The half-life of carbon-14 is 5730 years. How long does it take for 3.9 grams of carbon-14 to be…

A: h=5730 years. x=final amount=1.7 grams. y=initial amount=3.9 grams. t=h(ln(x/y))/ln(1/2)…

Q: How do I solve 8^2x-5=5^x+1 And the equation  2+log10 √1+x+3 times log10 √1-x=log10 √1-x^2 For x?

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Q: 1. In 2x - 21n/2y³ + In(xy)² as a single logarithm.

A: since you have posted multiple question i can do first question as per pur company guidelines please…

Q: It is estimated that i months from now, the population of a certain town will be changing at the…

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Q: How long will it take a $500 investment to be worth $700 if it is continuously compounded at 10% per…

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Q: Solve for r: log(z + 4) – log(z+3) = 1 You may enter the exact value or round to 4 decimal places

A: Since the question has multiple questions but according to guidelines we will solve the first…

Q: In particular, the law says that the time, T, it takes to make a choice can be modeled by the…

A: Given T = b.log2(n+1)where n = number of options from which to choose,b = constant number T = time

Q: Problem 7. Solve the equation logx+log(x+1) = log12 and leave your answer in exact value.

A: Topic = Algebra x=3

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

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Q: The solution of the equation Log(z² – 1) = in is

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Q: 17. When solving log(4x+5)-2log5=3 , which of the following equations will result? (A) 100x+125 =…

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Q: If log2 (5x + 6) = 3, then r = You may enter the exact value or round to 4 decimal places.

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Q: 9. Solve the following simultaneous equations: logx+log(y²)=4 log²x-3log(xy)=-5 Where x,y are real…

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Q: Find w if w = x10 + 10*. dx 10* 10x° + In 10 log10 e dw dw 10x° + 10* dx dx Option 2 Option 3 In 10…

A: Given  w=x10+10x To find : dwdx

Q: 2 Find the exponential equation whose graph passes through the points (-2, 5 and (1,10)

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Q: If the initial mass of an Potassium was 111 grams will remain after 10 hours is 27.75 grams, then…

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Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Q: 7. If the equation 3(5)“ =k is solved for x in terms of k, the result is 1 k (1) x=-log, 3 3 = 2…

A: Solving this expression we have

Q: 2 log, 64|,B = |** 6 [x +3 = 4 В 10 -4] 4 [m LetA = 4 21 3. 2 -7 5 4 and D =, *,. Find X, if AB" +…

A: To find the value of X.