H-w/ prove That: の legiキ2109i @ log (i+i)=2 loy (iti) logそキ2 \ogz }2こメう

Q: Solve for x using sci notation x=log(y^5) ; if (log y) = 1.2 x 10^-4

A: We have to find value of x by using scientific notation.

Q: If w=log(ysinx+xsiny) then prove that wxy=wyx

A: If w=log(ysinx+xsiny) then prove that wxy=wyx

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: (*) We can expand log to get

A:

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

A: Given :            loga y5 w2x4 z3  To express loga y5 w2x4 z3 in terms of logarithms of x, y, z…

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

A: Express in terms of logarithms of x, y, z, or w.  Given expression is log3 y5

Q: 5. Given that log 2 = x and log 3 = y, express log /54 in terms of x and y.

A:

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

A: Given logarithmic expression is log4xz. To express logarithms in terms of x, y, z or w. Solution: We…

Q: Differentiate the following functions: 1. y = tan(log25x) + x. log3(sec x) 2. logyx = logxy %3D

A: We havey=tanlog2 5x +x.log3 (sec x)Let  u=tanlog2 5x     and    v=x.log3 (sec x)Now y=u+vdiff.…

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: asb b? =In 2. %3D (3

A:

Q: jlog(4- ji') (541.5) In log(4ejn) j log(-7)

A:

Q: Estimate the error in the value log 2.7 obtained from the following dată.

A:

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

A: The given expression is log3xzy

Q: In LRT reject H, when Ais small, so we reject H, when the value -2 log A is small Select one: True…

A: Answer : False

Q: In LRT reject H, when Ais small, so we reject Ho when the value -2 log A is small Select one: True…

A: Answer : False

Q: Express th equation in exponential form.

A: Logarithm equation can be converted to exponential using the following properties of a logarithm.…

Q: Show that J log(1 + tan0)d= log2

A: Given that: To prove:        ∫0π4log(1+tanθ)dθ=π4.log2

Q: 2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

A:

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: 2. Evaluate [log(-1-1)(-2-j2)] tan(4 + 3i) cosh-

A:

Q: Between which two consecutive integers must log, (40) lie? Be sure to explain your reasoning. //…

A: We have the given number as log340 Let us consider that, 33<40<34

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: In x

A:

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

A: Known fact:log mn=nlog mlog mn=log m-log nlog mn=log m+log n

Q: fin log In () (2)In

A:

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

A: We have to express in terms of logarithms of x, y, z or w: log3xyz We know the properties of…

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

A:

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

A:

Q: 7. Use properties of logarithm to expand In (y³z²Vx – 1)

A: Property of logarithm

Q: y = log2vx

A: Given, y=log2x

Q: Write as the log of a single quanity: 1/2 [3logx + logy - log5]

A: Given that 12[3logx+logy-log5]simplify it in single log quantity

Q: Which grows faster In(x) or log (x)

A: ln(x) grows faster than log(x) Look for the graph using Desmos graphing calculator.

Q: Differentiate log[log(sinx)]

A:

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

A:

Q: what is intergral log x /x

A: WE HAVE TO INTEGRATE

Q: solve for x, log(x+5)-log(x+2)=2 please show work.

A:

Q: Assume X, Y, Z are positive numbers. Use propertie of logs to write the expression - 2log X-blog₂ y…

A:

Q: Solve for x:   logx=0.328 logex= 1.627  log2 x=6 In x= 0.444 x=antilog 3 -antilog 2  if base…

A: We will do algebraic manipulations along with applying the properties of log & antilog And in…

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

A:

Q: Write - Inz+In y-In x + In 2 as a single logarithm with coefficient 1.

A: Recall: (Logarithm Properties) lnmn=n ln(m) lnmn=ln(m)-ln(n) lnmn= ln(m)+ln(n)

Q: 2. Evaluate [log(-1-1)(-2- j2)] cosh- tan(4 + 3i)

A:

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

A:

Q: 10. y = log2(sin x)

A: We have to find derivative. o differentiate given question.

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

A: Given: log4z3

Q: Evaluate / x. sec² 2x. dx. x.tan2x + + ilog(sec2x) + C 2 O log(sec2x) + C O None xan - log(sec2x) +…

A: