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

Q: 3. Find syz for ys = In(x + yz) – xcoth-1 log ().

A: Given : Let us consider the given value as,  ys=ln(x+yz)-xcoth-1logzy

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

Q: Express In(1+r²) +In r- In sin r as a singel logarithm.

A: Use property of log :→n ln(m) = ln(mn)→ln(m) + ln(n) = ln(mn)→ln(m) - ln(n) = lnmn

Q: How do I expand this log expression? xz/5y x times the square root z over 5y

A: We have to expand the log expression:

Q: .Expand log (1 + sin x) in powers of z as far as the term in r.

A:

Q: Find the greatest integer less than or equal to log29 S2²10 log₂ (x³ + 1) dx + S₁ 3 (2-1) dx.

A:

Q: The logarithmic expressi on In can be rewritten as (1) 3ln y- 2 In y- 6 (3) 2 1-6 In y (2) 2 (4) Vin…

A:

Q: 3

A:

Q: Show that S log(sin x) dx = -log 2.

A: To show that ∫01logsinπxdx=-log2 using the given figure.

Q: Deduce that log (1 + x) 0. If fix) = log (1 + x), x > 0, uning Maclaurin's theorem, show that for…

A: Given that: fx=log1+x, x>0 To show  log1+x=x−x22+x331+θx3 for 0<θ<1 and log1+x<x−x22+x33…

Q: Whats the integral of (log_base8(8x))/x dx?

A:

Q: 1-In (-) + In(2x) = In3 2- 4 log 2 - log3 + log16 = x 3-Expand In [x? sin x /Vx2 +1]

A: To find the value of x

Q: determine the nature of functon for even and odd Ax) = log(x+ Vx² +1) ?+1)

A:

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A:

Q: The union of left ray topo log y and right ray top log y on real numbers is usual topo log y True…

A:

Q: 4 Evaluate (logyx)'., having given, 1 1 y = log1,x + ; log,0x + log10x + . 00 1+3+5+ ..+ (2y - 1) 20…

A: We have to solve given problem:

Q: Differentiate. y= 11* . log 7x dx (11*. log 7x) =O

A: Given that

Q: Employ the concept of growth of functions to compute the smallest intege for which the function f(x)…

A:

Q: Differentiate with respect to x:* y = log, (x) :() 2+ In x - In x Option 2 Option 3 2 - In x 1+ In x…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Differentiate. y= log(5x + 1) 6 (6x+1)In(5) 5 (5x+1)In(6) 6 (5x+1)In(6) o loge(5x+1)

A: Solve the problem

Q: Differentiate implicitly to find y' log3 (x). tan cy+ 1) = y2 %3D

A:

Q: dy : Prove that dx or ỹ for expression y log2(x²) is equal to ỹ = 2[1-log2 x² In 2] %3| x2 x³ In 2

A: Given, y = log2x2x2    We have to prove dydx or y¯ = 21-log2x2.ln2x3ln2

Q: Find the volume of the largest cube of wood that can be cut from a log of circular cross section…

A: Given that, the radius of circular cross section is 6 inch.

Q: Evaluate the integral. 8 r log 4(x + 8) x +8 xp-

A:

Q: Express log x Vy/z in terms of logarithms of x, y, and z.

A: Express log x4y2/z3 in terms of logarithms of x, y and z.

Q: Express the guven auantity In (xt2)" single logarithm. ' + I LIn x-In (x? + 3x +a)°J as a

A:

Q: 4 In x + In(x - 25) is the base e logarithm of

A: solution:-

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y – 3 loga x 6.…

A: This is a problem related to logarithm properties. Based on the general formula we can answer the…

Q: Prove that : log 2 xp

A:

Q: 4. Show that id 5D accuracy is required to calculate the value of log(1+x) at x=0.1,0.5 by using the…

A: Given equation is log1+x=x-12x2+13x3+.....+-1n+1nxn+Rn+! So, Rn+1=-1n+2n+1xn+1 So, maximum relative…

Q: What will the coefficient (x – 1)² in the expansion of loge x about x = 1 ? %3D

A: Introduction :

Q: 3. Express as a single logarithm: 3 log 2 + log x - log (4x) log(8x) A. log(4x) В. log (2) C. log…

A:

Q: Differentiate the following and simplify: y= log, (sinhe") h(x)=3sinh(1–3x² )cosh(1– 3x² ) 1. 2.…

A: As per bartleby guidelines we only give first question answers.

Q: Simply the following 1 1.5 Inx – In(x² – 1) + 2ln(x + 3) 2. 5log2 + log3 – log8 -

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: e ecse with the and of logarcdtlmc dffenatiation /-

A: We have to find the differentiation of the given y

Q: Evaluate log2(x²) dx In(2) -log2(x²) + C 4 In(2) log2(x²) + C n(2) (log.(r2))2 (log. (x2))2 1r 4…

A:

Q: . if võ =o, i =1 and Ju = 2 estimate 13 %3D by constructing Logrange polynamial, Itn with the exact…

A:

Q: Find all vawes of k don uhich log kx 112 log (x+) has one soluhion

A: Just use basics of logarithm.

Q: 3. y = Arccos ( logx);y' = * O -1/x In(10)*sqrt ( 1 - (logx)^2) O 1/ x In(10)*sqrt (1 - (logx)^2) O…

A:

Q: Differentiate with respect to the independent variable: f(x)= log base 20 square root x

A:

Q: Express the following in terms of x without logs or natural logs 1) log100x 2) 1000logx 3)…

A:

Q: How do I expand this logrithmic equation? In(x2 square root of y/z)

A: Given:

Q: 2 log(x+y) = 3log3 +logx + logy

A:

Q: 6) If u = log (x² + y²), then prove that log (x² CSScanned with CamScanner dydx ôxôy

A:

Q: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

A:

Q: ` log x dx

A:

Q: d log, x = 1 dx [(In a)(x)]

A:

Q: Prove the following equation(with appropiate restrictions on the variables) logx–2=log(x/e²)

A: Here we will use the following formulas logab = log a -log blog(ax) = x log alog e = 1 Consider…