If L- k then logL is equal to OA 2109 2log- В. 2(одх - logk) C. 2logx – logk O D. 2logx logk 000

Q: Differentiate log(x² + 1)². O (x2 + 1) ln 10 4x O 4x(x² + 1) ln 10 O 2x(x² + 1) ln 10 4(x2 + 1) In…

A:

Q: Write as a single term that does not contain a logarithm:

A: eln 8 x5- ln 2 x2

Q: Condense to a single logarithm. 3 - log 8 (m) – 2log 8 (4n) – 31og 8 (5k) 5 log (4n)² (Sk)³ log s…

A: Given problem:- (3/5)log8(m)-2log8(4n)-3log8(5k) To find:- Condense to a single logarithm

Q: Suppose log, 2 = 5 and log, 3 = 8, find: a) log, 18 b) loga i 4

A: we know that  log ab = log a + log b  log a/b = log a - log b  log ab = b log a

Q: d) log, V5 e) log, () f) log, a

A:

Q: Suppose loga 3 5 and log, 7 = 9, find: a) log, 21 b) loga 49 c) loga

A: Given  loga3=5 and loga7=9

Q: If logx(1 / 8) = -3 / 4, than what is x?

A: Given,

Q: Suppose log, 2 = 5 and log, 3 = 8, find: c) log, a5

A: Given  loga2=5 and loga3=8

Q: If log3 (x)=4, log3(y)=-1, and log3(z)=5, what is log3 (xy)? ?

A: Objective of the question find the value of expression with the help of given data.

Q: Express as a single logarithm and if possible simplify

A: We have given the expression

Q: Write as the natural log of a single expression: 2 ln 5 + 3 ln 4

A:

Q: Express as sums or differences of logarithms. log yz *(Show your usage of the log properties.)

A: We have to the express given logarithm eqution

Q: Which of these are equivalent to log 1? yz?

A:

Q: What is the value of x in logx > 2log4?

A:

Q: Expand the expression. If possibl youv answer without expenehts. log6 A3+x2

A:

Q: Differentiate: y=6x * log6x (Hint: simply your answer as much as possible. Use logNM=lnM/lnN, if…

A: To Determine: Differentiate the given function:

Q: Suppose log, 3 = 15 and log, 5 22, find: d) log, e) loga a c) log, 1

A: Given that

Q: (a) If logx16=2, then x= (b) If logx81=4, then x=

A: For (a), Given logx16=2. So,          logx16=2⇒1log16x=2Multiply both sides by…

Q: what is b if (logbx)= 1/3x

A:

Q: If log (x³ (x-2)) is expanded to Mlogx+ Mog(x-2, what 3 thhe sum of Mand N?

A:

Q: b). Condense the expression into the log of a single quantity: 3logx + 2logy - logz Ans.

A: Given, The expression 3log x + 2log y -12log z.

Q: The least value of the expression 2log10x – logx(0.01), for x > 1, is- (A) 10 C) –0.01 (В) 2 (D)…

A:

Q: The solution of log-(9+ x) = 2log7 8 is O x = 73 O x = -55 O x = 16 O a = 55 O x = -1

A: Logarithmic functions.

Q: Express as a single logarithm. log H+ log Z

A:

Q: Evaluate the expression without using a calculator. logzv3 O3 O1 1

A:

Q: Assume logb x = 0.36, logb y = 0.56, and logb z = 0.83. Evaluate the following expression. logb xz

A: log rule logamn=loga(m)+loga(n)

Q: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

Q: Which of the following is equivalent to 142 = X? O logx(14) = Z O log x(Z) = 14 O log14(Z) = X O…

A: The objective is to find the correct option.

Q: If log base b (x)=0.35 and log base b (z)=0.85. Evaluate the expression of log base b (square root…

A: We have given and we need to evaluate :

Q: Assume logb x = 0.36, logb y = 0.56, and logb z = 0.83. Evaluate the following expression. logb x/y

A: logb x = 0.36, logb y = 0.56, and logb z = 0.83

Q: Given that logp q = x 2 and logq p = 1 2x−1 , find x

A:

Q: In x

A:

Q: Suppose loga 15 and log, 5 = 22, find: a) log, 9 b) log, 75 c) log,

A: Given Data: loga3=15loga5=22 (a) loga9 Solve the given logarithmic function.…

Q: Express in terms of logarithms of x, y, z, or w.

A:

Q: 4. If log,v =logox- (2logby+log,z), what is the value of v?

A: Logarithm s

Q: b- find x for following 1. logx = v2

A:

Q: if log7M=log(2)3/log(2)7 than M =3, 1, 7 or 2?

A: We use Logarithmic properties

Q: If loga 2 = 0.41loga 3 = 0.64loga 5 = 0.94 loga(9a8) = ?

A: Compute the value of loga(9a8) as follows.

Q: 2. Rewrite as a single log (condense): 7 5, loga (xy®) +12lo9 x12 - 5log. (y) 16,,8 8

A: Answer and explanation is given below

Q: Evaluate y for the fx)= 4"-5 log,(x) 4*ln 4- Inx 4- x In 9 4- In 9 4'ln 4- x In 9

A: Answer

Q: Condense to a single logarithm. 3 - log 8 (m) – 2log8 (4n) – 3log 8 (5k) 5 m' log (4n)² (5k)³ Vm³…

A: We have to condense the given logarithm in single logarithm 35log8m-2log84n-3log85k

Q: Evaluate gradø if 9= log(x² + y² +z')

A: Consider that the gradient of a scalar function ∅x,y,z is given by, grad ∅ =i^∂∅∂x+j^∂∅∂y+ k^∂∅∂z…

Q: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

Q: Condense to a single logarithm. 3 - log 8 (m) – 2log8(4n) – 31og 8 (5k) 5 log (4n)² (5k)³ Vm³ log s…

A: Solving the problem by finding the given expression to a single one.

Q: Express as a sum of logarithms. log g(18-12)- og 9(18 - 12) Enter your answer in the answer box.

A: Answer and explanation is given below..

Q: Write as the natural log of a single expression:(a) 2 ln 5 + 3 ln 4 (b) 5 ln(x1/2) + ln(9x)

A:

Q: Use log, 3 z 0.5869 and log, 5 z 0.8598 to find an approximate value for V5 logb 9

A:

Q: Use the interpolation method to find log10 1044 from the following data: x = 1000 (10) 1050, y =…

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

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.