2. Which of the following is equivalent to the expression: 2+3 log2 (x + 1) – log (2x – 1)? 2(x+ 1)3 log2 (2a – 1)2 4(x +1)3 log2 V2x – 1 4(x+1)3 log2 (2x – 1)2 2(x+ 1)3 log2 V2x – 1

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3- Inx- In(x+ 5) = 0 (b) 81-x = 4x+2 (c) 22x + 2%– 12…

A: Since there are multiple questions requested, we will answer the first question requested (1 (e) and…

Q: I If the equation ellx- 21+ 6 - 2 has four solutions, then b lies in (a) (log 2, – log 2) (b) (log 2…

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Q: 1 1 7. Show that log3 x show your full solution with restrictions log5 x log15 x

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Q: 4e3x+3-7=53

A: Hi! You have posted multiple questions. So, we will be solving only the first question as nothing is…

Q: 7. The expression 4 log x -- log y + 3 log z can be rewritten equivalently as (x*z' (3) log 2y (1)…

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Q: Which of the following is equivalent to In(2x – 3) = 5 e2x-3 = 5 %3D e = 2x - 3 %3D log5 e = 2x - 3…

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Q: 6. Which of the following is equivalent to 12* =c-4? A. log 12 =c-4 B. log-4) 12 =x C. log,(c-4) x…

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Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – Inx – In(x + 5) = 0 (c) 22x + 2x – 12 = 0 (e)…

A: Solve the following  c)22x+2x-12=0 e)log4 x+2-log4 x-1=1 f)log2x-1-log2x+3=log21x

Q: For each of the following statements indicate whether it is true or false and correct the false…

A: Given statement is  32nn+5n2+log2n=On3 To determine whether given statement is true or false.  For…

Q: QUESTION 9 If 5(3^x) = 10, which of the following would equal x? O A. log10/log8 OB. log10 - log15…

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

A: (d) ln3-lnx-lnx+5=0 Moving negative elements on opposite side of equation we getln3=lnx+lnx+5 Apply…

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

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Q: Evaluate: A B С) D (x+1) log(x+1) 1 -In[log(x+1)] + C In 10 1 -In 10 log² (x + 1) + C 2 In 10…

A: Given problem:-

Q: 17. Expand the expression Vx+1(x² - 4) |ninon se log2 183 (r°+27)* -3 081 2

A: Given expression

Q: 2. Transform the following exponential forms to logarithmic forms or vice versa. f. log2 8 = 3 g. 9x…

A: Since there is multiple questions, we will solve the first 3. Repost the question again to get the…

Q: (1) solve the following  i) 2x/2-16  = 1/32  ii)  log8 (x-2) log8 (x )= 1

A: We have to solve and finding the value of x  Here using logarithmic properties

Q: 2. Which of the following is equivalent to the expression: 2+3 log, (z+ 1) – log (2z – 1)? 2(z + 1)*…

A: This is very complicated problem.We have to think deeply to solve this problem.Therefore I can solve…

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

A:

Q: 4 Given that log m2 ≈ 0.59, log m4≈ 1.18, and log m6~1.525, find log m 4 log m (Type an integer or a…

A: Explanation of the answer is as follows

Q: Solve the following: (a) 4 2x-1 = 64 (b) 8 1−x = 4 x+2 (c) 2 2x + 2 x − 12 = 0

A: Since you are posting multiple subparts. We will answer first three subparts. Kindly repost the…

Q: 0:A-If y = 2cc (20) and x = etot(20), Prove that: - (answer one only) dy *- (In2).. log, x %3D dr B-…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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

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

Q: 11) Given that log, 6= m and log, 5 =n, show that log, 10 = mn+m-1 %3D 12) Solve for x in the…

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Q: The solution(s) of log3(-x) + log3(-3x – 6) = x - log3(3")+2 is (are) z = Select one: Оа-3,1 Ob. 3…

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Q: 24. 23. 22. Given log C-x, express in term of x (a) 108m (1). logm (b) logm Cm³. Given log, 7-r,…

A: as which question is to solve is not specified so according to bartleby guidelines  I need to solve…

Q: 3. Rewrite the following logarithmic expressions in condensed form. log2 9 – log2 y +log2 x – log 3…

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Q: Solve the following d. In 3- Inx - In (x + 5) = 0 e. Log4 (x+ 2)- log4 (x - 1) = 1 f. Log2 (x-1) –…

A: The detailed solution is as follows below:

Q: Which of the following statements is not correct? A. log10 10 = 1 B. log (2 + 3) = log (2 x…

A: GivenAlog10 10 = 1B.log (2 + 3) = log (2 x 3)C.log10 1 = 0D.log (1 + 2 + 3) = log 1 + log 2 + log 3

Q: 1. x=log1031,500, Select all that apply and justify your selection. Which are true of а. х4 d. x5

A:

Q: 4. Solve the following logarithmic equations. a. 2logx = log2 + log(3x – 4) d. logx + log(x – 1) =…

A: The logarithmic properties; 1). logbmp=plogbm 2). logbm·n=logbm+logbn 3). logbmn=logbm-logbn 4). If…

Q: If T = 1o, then log T is equivalent to: 5 A (1 +2 log x) – log y B log(1 +2x) – log y (1- 2 log x) +…

A: We can find the log as below

Q: x-1 X-n x+n If y = x log show that y, =(- 1)" - 2 (n – 2) ! %3D x+1 (x - 1)" (x + 1)"

A:

Q: 26. Describe the behavior of each of the following: (a) 5 (b) log x as x>0 as x (c) ln x as x ->co…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Which of the following expressions is equivalent to log(3) - 2 log(2x) + 3 log(y2) show your work…

A: Using logaritms formulae loga+logb=logabloga2=2logaloga-logb=logab We have given log3-2log2x+3logy2…

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: 5. If log 0.3 (x-1) < log 0.09 (x-1), then x lies in the interval c. -2 <x<-1 d. 1<x< 2 a. 2<x < b.…

A: If log0.3(x-1)&lt;log0.09(x-1)

Q: 19. If f(x) = x² + 5 and g(x) = log 3x, which of these expressions is equivalent to g(f(2))? a. log…

A: (19) Given that , fx=x2+5 and gx=log3x find gf2=?

Q: Suppose that log3(x) = 5.3 and log3(y) = 2.1. Evaluate the following exactly, and show your work a.…

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

Q: 13. Express the following equations in exponential form. (a) logs 5 = 1 (b) log, Q = k (c) In 30 =…

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Q: x- log, (x – 6) = log , 9 4) log, (x– 10) + log, 4 = 3 %3D g7 g, (x + 3) – log, x = 1 6) log, 8 +…

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

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Q: Solve the following d. In 3- Inx - In (x + 5) = 0 Log4 (x + 2) – log4 (x - 1) = 1 e. f. Log2 (x-1) –…

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Q: 4. Condense the log to a single log expression. a. 2 log y - 3 log x - 2 log 10 b. Ina+3 ln y

A: See this solution in below

Q: 1. solve for x, log2(3x-2)=4.    2. use the laws of logarithims to rewrite 7log x - 3log y as a…

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Q: (a) f(t) = In(5t - 4) 12 (b) g(x) = log(x² - 25)

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Q: Solve the following d) In3 - In x - In (x + 5) = 0 e) log4(x+2)-log4(x-1)-1 f) log2(x-1)-log2(x+3)=…

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Q: - 4 ) if f(x)= log3 3-2 (x3 – 4) (x3 – 2)In(3) 6x? %3D (..3 ..3

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Q: (1) Šolve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 (c) 22x + 2× – 12 = 0 (e)…

A: As per our guideline we are allowed to do 1 question or maximum 3 subparts at a time. Please post…

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

A: