16 What is the fully expanded form of log;- .? (A) 2log, 4 -log , 5 (B) 2log;4+-log ; 5 (C) 2log , 4 – 5 (D) 2log , 4 +- log; 5 O A

Q: This Simplification of the expression below, where u, v, and w denote suitable positive realy…

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Q: Prove that the number log, 13 is irrational. Recall that log, a = x means that bª = a.

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Q: a. There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many…

A: Given Information: a) Total no. of men=8 No. of men to be selected for committee=5 Total no. of…

Q: 109. Show that log = log, M - log, N, where a, M, and N are positive real numbers and a 1.

A: Given: logaMN=logaM-logaN

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A: To prove,  loga1N=-logaN where, a  and  N are positive real numbers and a≠1. Now, take the left…

Q: Log 2= 0.301, log 3= 0.477, log 5=0.699 and log 7=0.845 Find:  Log 2.4 Log 6/7

A: (i) log(a/b) = log(a) - log(b) (ii) log(ab) = log(a) + log(b)

Q: ( logb 16 -     logb 4 ) + ( logb 5 )   ( log3 3 +   log3 6 +  log 3 2 ) – ( log 3 18 )

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Q: Show that loga aMN b = loga M - loga N, where a, M, and N are positive real numbers and a ≠ 1.

A: We have to prove, logaMN=logaM-logaN Let us consider that, M=ax⇒x=logaM          ⋯⋯1N=ay⇒y=logaN…

Q: 6. Use the properties of logarithms to expand the expression. (Assume all variables are positive.)…

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Q: = d. Find an expression for = c and log,(2) log, (50) in terms of c and d, but not involving…

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Q: 5.-find the exponential Ronction fa)= ab? tha satisfies the condition f(0) = -4 and f(-3) = - 500

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Q: 9. Express 11' as a power with a base of 2. А. log, 11* log 2 log 11 С. log, 11× log, 4 4 log 11 В.…

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Q: 8. Evaluate using properties of logs. NO calculators, do not find b log» V10b given that log,2 = 0.3…

A: The given logarithmic expression is: logb10b And, also given that, logb2=0.3 and logb5=0.8 To…

Q: 4. Prove that for positive arithmetic functions f and g, din din Hint: Take logarithms to get the…

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Q: Hiw/ prove That: logit 210gi @ log (iti)= 2 log (iti) ® log é#2log Z it z=

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Q: (3) Find the domain of f(x) = log(6 + x – x²) (A) (-∞, 3) (B) (-2, 3) (C) (3, ∞) (D) (-∞, -2) U (3,…

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Q: 9.1) How would you compute log(4531.2) using a table with inputs between 1 and 10? Can you explain…

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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: 11) 2 log(2)-4log(b)

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Q: 24. For which b does the definition of log,x just given make sense, and why? Is this the same…

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Q: log, 5 0.699 and log, 2x 0.301. Use one or both of these values to evaluate log, 125. log, 125 =…

A: Given: loga5≈0.699, loga2≈0.301 We know that logmnp=plogmn…

Q: 2 5 Express log b 5.8 m°b in terms of sums and differences of logarithms.

A: The given expression is logbp2q5m5b8.

Q: 41. (a) log,(¿) (b) log10 x = –3 = X 42. (a) log, 1000 = 3 (b) log, 25 = 2 43. (a) log, 16 = 4 (b)…

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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: For each exercise, identify the error(s) in planning the solution or solving the problem. Th en…

A: The logarithmic form of an exponential form is given as follows.

Q: الوقت المتبة The expansion of the logarithmic expression x2 In (x+1)/(2x-3) is a) Inx + In(x + 1) –…

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Q: log, 7- 0.9 log, 4 z 0.6 log, 6 z 0.8 1 Find log 9 49

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Q: log(2,5,) -log(=, ) – log(2,) ylgn O İhi O

A: The detailed solution is as follows below:

Q: 9.5. Show that (a). Log(1+ i)? = 2L0((1 + i) but (b). Log(-1+i)² + 2Log(-1+ i). %3D

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Q: 22.Using properties of logarithms, log (ab^5 ) can be written as ? a. Sloga + 5logb b. 5loga + logb…

A: 22. We need to simplify the following logarithmic expression logab5

Q: Write log2(9/5)i n terms of log2 3 and log2 5

A: We first use the division property of logarithm

Q: 10. Express 17* as a power with a base of 2. log2 log 17 b. 2 4 log 17 log2 d. 2 a. log, 17* c. log,…

A: As we know from the logarithmic property; logaxb=b·logax, where x,a>0 & a≠1   Let, 174=2x…

Q: Use the laws of logarithms to evaluate: A) logbase6 42 - logbase6 7 B) logbase3 5 + logbase3 18 -…

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Q: Show that 4 + log 2 3 = 1 + log 2 24

A: Given:4+log2 3=1+log2 24Formula:loga a=1loga ap=ploge a×b=loge a+ logeb

Q: A. Express in terms of sums and differences of logarithms. 1. log, 6xy®z* 6. log, x³y²z

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Select all that apply: log4 (114) = 11 4log,(11) = 11 O 4log11(11) = 11 O log, (4") = 11 11log,(4) =…

A: Please refer the attached image for complete solution.

Q: 1. Simplify the expression with four a(0,3,4,7,10,12,14).Draw the Circuit in logisim with minimum…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: 27a b² Evaluate log, (- V81cd whenever log, (a) = 4, log3 (b) = 0, log, (c) = -1, and %| log3 (d) =…

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Q: 13. Determine whether or not each statement is true or false for all x>0 & y>0; if a false, provide…

A: The solution is :

Q: 4log 3 - 3 log 3 =

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Q: 43. Graph f(x) = 4x and g(x) = log4 x in the same rectangular coordinate system. 44. Graph f(x) =…

A: 43) Graph

Q: 15. Write 2ln x +In (x² – 1) –In (x² + 1) in condensed form. Write using the rules of logarithms…

A: IN this question we have to find condensed and expanded form.

Q: 4. I. The simplified form of 4 log, " +5 log2 -3 log, z is log2 II. The expanded form of log, p is 2…

A: There are four following math lagarithm formulas

Q: 27) Expand the following logarithmic expression entirely, over the real numbers: x² – 4 In |(x² +…

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Q: a) log2 25 – log, 5 is the base 2 logarithm of ) 4 In x + In(x – 25) is the base e logarithm of

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Q: Prove that log3(25) is irrational.

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Q: Let X-N(0,1); show that X member in exponential family.

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Q: 4. The expression loga is equivalent to 5 O 3log.y +log, -log,5 O 3logay +2logax – loga5 | Olog (3y)…

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Q: 9) Evaluate log. Use log x = 2, log y = 6, and log z = 12.

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