In Problems 14–19, solve each equation. 14. 5*+2 = 125 15. log(x + 9) = 2 16. 8 - 2e* = 4 17. log(x + 3) = log (x + 6) 18. 7*+3 = e 19. log2(x – 4) + log2(x + 4) = 3

Q: ,2,3 Expand into several logarithms: x'y In 25

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: (a) log,(5x – 1) + 6 = 9 (b) 163x+1 = (4)*-1 %3D (c) In(x + 6) = In(11) – In(x – 4)

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

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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: 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: 3. How long will it take $5000 to triple if it is invested at 7.5% compounded continuously?

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

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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: (1) Solve the following: (a) 42x-1 = 64 (b) 81–x = 4x+2 (c) 22x + 2* – 12 = 0 (d) In 3 – In x –…

A: Hey, Since you have posted multiple questions we will answer the first three subparts. if you want…

Q: Solve the following equation: 2logx - log3 = 2 9√/3.7 O-11√2 10√3 O-10√/3.1

A: We can solve the given function.

Q: In Problems 61–74, use a graphing utility to solve each equation. Express your answer rounded to two…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: 2 -3 r- 3 x = %3D (z + 4)- 1 = 24 --- log, 15625 6 X = !!

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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: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – Inx- In(x+ 5) = 0 (b) 81-x = 4*+2 (c) 22x + 2* –…

A: Given that  The price of a dress is reduced by 20 % Again reduced by 10%  After reduction price was…

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: solve for x in the following equation 2e^3x-1=10

A: To solve the equation

Q: 25. Solve for x if log 3 x = -2. A. -6 B. -9 C. 6. D. 1

A: If logax = b then, x = ab.

Q: (1) (a) Solve the following: 1 (i) 2*-6 (ii) log;(x+3)=1-log;(x-1)

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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: Suppose that April has access to an investment that will pay 10% interest compounded…

A: Given, a situation, where April has access to an investment that will pay 10% interest compounded…

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: In Problems 75-86, solve each equation. Express irrational solutions in exact form and as a decimal…

A: 75. Given logarithmic equation is: log2x+1-log4x=1 We have to solve for x.

Q: 25. Solve for x if log 3x = -2. А. 1 В. 1 C. -9 D. -6

A: Our Aim is to solve for x if log3(x)=-2 -(i)

Q: (b) 2log(x – 3) – log(x – 1) = 0

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Q: A man with ​$30,000 to invest decides to diversify his investments by placing $15,000 in an account…

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Q: 19) 3 log x + - log y - log z

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Q: 1 5 log5 (x) + log5 (y) - 6 log5(z) 6

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Q: The number N() of people In a community who are exposed to a particular advertisement is governed by…

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Q: 25. Solve for x if log 3x = -2. A. 1 9. B. -9 С. 1 D. -6

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Q: Solve the problem. 9) If $5000 is invested in an account that pays interest compounded continuously,…

A: Given data: The initial amount is given as P=$5000. The rate of interest is r=7%=0.07. The final…

Q: 17. Find the value of x without the use of calculator 1 log, 3. 4

A: Given:

Q: In (x + 4) + x = 5 log log (x + 1) +3

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Q: 2. Solve for x. 45x-x² = 4-6 a. b. (1 − x)5 = (2x − 1)5 - 60 c. 55 = 1+5e-0.6x d. 3 log x + 10 =…

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Q: Write the expression as one logarithm . SNIPP

A: To rewrite expression as single logarithm. Using the properties of logarithm,

Q: 2) y= log, (-4x +6)+ 4 2 +6 1) у3D 4) y= In (4x – 10) – 6 e+10 3) y =

A: SOLUTION- Since you have posted a question with multiple subpart , we will solve first three for you…

Q: (1) Solve the following: (a) 42x-1 (d) In 3- In x - In(x+ 5) 0 (c) 22x + 2x - 12 = 0 (e) log,(x+ 2)…

A: Use property of log to find value of x. Note that first find domain of function. That means value of…

Q: 9) Solve for x and y in the following pair of simultaneous equations log (x+ y) = %3; 2 log x = log…

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Q: 4. State the restrictions and solve: log2 (x2 + 6) = 1+ log2(2x + 1)

A: Given: log2x2+6=1+log22x+1 To solve the given expression simplify to obtain the value of x.

Q: Solve for x, log 7 (x − 4) + log 7 (x + 2) =1 and state restrictions

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Q: Solve for x. 3-2 = 15 O x = log153-2 O x = log 15+2 O x = log3 15 +2 x= log3 15 - 2

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Q: 4 In2 log2 x 1-

A: At first we will change base of log2x to natural log by using base change formula. Then use…

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: (1) Solve the following: (a) 42x−1=64 (b) 81−x=4x+2 (c) 22x+2x−12=0 (d) ln3−lnx−ln(x+5)=0 (e)…

A: Dear student as per our rule in one session we can only solve the first three subparts of one…

Q: How long (in years) will it take a $900 investment to be worth $1000 if it is continuously…

A: Amount = $1000 Principal=$900 Interest rate = 8%

Q: solve the following 1) 42x-1 =64 2) In 3 - In x - In (x + 5)=0 3) log4 (x + 2) - log4 ( x - 1)=1

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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.

Q: 13 1. Solve 2 log, (x + 4) – log2 ( 2.x + 2 = 1 -

A: Given,2log2x+4-log22x+132=1 Used Properties: 1. logaxy=ylogax                            Power…