. Use the basic properties of logarithms to find the value of the following logarithmic expressions: a. log, 7 b. eln 5 c.log 10*² d. log3 1 e. In e(x+1) f. log,()

Q: What is the base of the following logarithmic function: h(x) = In(x) 2 T 10

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Q: Express the following as the logarithm of a single quantity. log 74 + log 716 Choose the correct…

A: The given logarthim expression,   log745+log716

Q: a. log AB В b. loga A 2.3 c. logA´B°C

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Q: Combine the following into logarithm: 13. a single 2 log - 3 log y + bg(x*y*)

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Q: Write the following as a sum of logarithms: log(z y=")= log(z)+ log(y)+ log(z) %D

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Q: Suppose log, (3) = m, log„(5) = n, and log.(7) = z. Find the following: %3D 25 a) log.(15) b)…

A: Given: loga(3)=mloga(5)=nloga(7)=z

Q: 18. Use common logarithms to approximate log, 207 to four decimal places. O A. 0.4120 B. 3.2702 C.…

A: Topic-logarithms

Q: Evaluate the following. 1 a) log√3 b) log² √b

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Q: Express as a single logarithm and if possible simplify

A: We have given the expression

Q: 2 Which of the following is equivalent to log.(m) - logm(20)? F 5 G 80 log(5) log(m) K log.20

A: This can be solved by logarithm properties

Q: Find exact values for each of the following quantities without using a calculator by applying…

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Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

Q: 1. Express as a single logarithms and if possible simplify. loga 75 + loga 2 ½ log n+ 3 log m

A: We can solve the two subparts as below.

Q: 5. Draw the graph of each of the following logarithmic functions. d. f(x) = In (2x + 4) %3D

A: Answer :- We have to draw the graph of the logarithmic function  f(x) = ln (2x + 4)

Q: Evaluate the following: log, a Find y in terms of x for In(y+1)=2– 3 In.x

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Q: Condense the following logarithms using the properties. 10) log(x)+log(y)-2 log(y) 11) 2 log(2)

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Q: The value of x for: log, (e) +4u) =x'log(10) is: %3D

A: Given equation is : logee+4-2log4x=x-1log102 To find the value of x. Use the property of logarithm ,…

Q: Suppose log. (x) 2 and log, (y) = 5. Find the following: %3| a) log. (r?y) b) log. (y³) c) loga

A: *concept:- use "log" properties.

Q: Ise the Laws of Logarithms to expand the expr log2

A: We have to express the given expression

Q: . Express the following logarithms in terms of ln 2 and ln 3.e. ln 3sqrt(2)             f. ln…

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

Q: Evaluate the following using a method of your choice. ( JY a) log, 625 = b) log,2 + logʻ32 =

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Q: Use log, 20.335, log, 30.593, and log, 50.778 to approximate the value of the given logarithm to 3…

A: On solving this we will get

Q: If we let In a = A, In y = B, and In z = C, rewrite the given logarithm in terms of A, B and C: h(x)…

A: In the question it is asked to simplify h(x) in terms of A, B, C.

Q: 7. Determine the value for each of the following logarithms. Each of these will have non-integer,…

A: PROPERTIES OF LOGRITHMS( i ) logab = 1logba  ;  b>0 ; a>0 and a,b ≠1( ii ) log (mn) = loga(m)…

Q: Condense the into a following (b) Single logarithm. 2 In (x+1) +3 InCy)-Ź Incx)

A: Condensing the expression to a single logarithmic value

Q: Evaluate the following logarithms. (a) log 3 (b) In 82 (c) log 51,410 (a) log 3= (Round to three…

A: We need to evaluate the given functions.

Q: Use log, 20.401, log, 3≈ 0.503, and log, 5 0.794 to approximate the value of the given logarithm to…

A: Given : logb2≈.401 , logb3≈.503 and logb5≈.794 To find : logb75≈?

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: A semi-log chart is created in which the y-axis has been converted to base 10 logarithms. At a…

A: If the value on y axis is exactly between 3 and 4 then Log10(y)=3.5 where y represents the actual…

Q: 14. Evaluate the following logarithmic expressions. (a) log, 1 (b) In e² (c) log 10 (d) 5log5 5.7…

A: Given that the some logarithm problem  To find the solve of logarithm problem

Q: Which of the following logarithmic expressions have been evaluated correctly, to the nearest…

A:

Q: 2. Write each of the following single logarithm. as a b) (4 log,(x)– 2 log, ())–3 log, (w)

A: Solve the following

Q: Which of the following logarithmic expressions have been evaluated correctly, to the nearest…

A: Properties of logariths:-1. log(a)b=b log (a)2. log(a,b)=log (a)+log (b)3. logb(a)=log (a)log (b)

Q: Express the following sum and/or difference of logarithms as a single logarithm. 2 loga y+logs -…

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Q: Sketch the graph of the following logarithmic functions. 2.f (x ) = -log(r - 3

A: Given that : - f(x)=-log(x-3) The graph of the function f(x) =?

Q: Simplify the following into a single logarithm: log(3) – 2 log(x) log (3ª2²) O log (4 · 3 · 2?) 34…

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Q: 2. Evaluate the logarithm by using properties of logarithms and the following facts. log x = 2.5…

A:

Q: single logarithm:

A: Given: log2x -log12x-1 To express: The expression as a single logarithm.

Q: Expand the following using the properties of logarithms and simplify. Assume when necessary that all…

A: Given logarithm is:As per the properties of logarithms,Using the above properties and then…

Q: Express the following ratios as ratios of natural logarithms and simpity log a log 3X log 5x b. log…

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Q: What is the Domain of the following logarithmic functions? 1) f(x) = log(3x - 21) 2) f(x) = log(2x +…

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Q: Use the Laws of Logarithms to expand the expression. xy (а) log x + 2 (c) log V + 4) (b) In

A: We know that, the property of logarithm is given as logmn=nlogm                 ⋯⋯1logmn=logm+logn…

Q: Rewrite the expression as the logarithm of a single quantity. 18) 6 log, t- log b S 18) 19) 3 log x…

A: As per our guidelines we are supposed to answer only first question Kindly repost other as the next…

Q: Find the following logarithm. log_4(1)

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Q: 2. Use the properties of logarithms to condense the expressions as a single logarithm. 4. log a – 3…

A: We have to solve given logarithmic expression.

Q: Evaluate the following using a calculator. (A) log 1,311.5 (C) In 347.55 (B) log 0.0346628 (D) In…

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Q: What is the 2log, 5+ log; 4 written as a single logarithm? (A) log; 40 (B) log; 29 (C) log; 100 (D)…

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