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

Q: Assume that for some base a, logąx = 0.3000, logay = 2.8642, and logąz = 1.7642. Find %3D %3D loga…

A: log (mn)= log(m)+log(n)logmn=log(m)-log(n)logam=m log (a)

Q: Use the trapezoidal rule with five function values, together with appropriate log laws, to show that…

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Q: By using u=ln(3x) and dv=6x dx, find ∫ 6x ln(3x) dx. Be sure to include the argument of the…

A: Consider the integral

Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

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Q: Find the integral: log7 X dx = %3D

A: Solve the following integral

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

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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: y = (cos(x²))* -2 Co:

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

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Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

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Q: Determine whether the equation (log2 x)4 = 4 log2 x is true or false. Where possible, show work to…

A: Given equation log2x4=4log2x. Given statement is false because the identity used is not correct.…

Q: (a) In (x (b) log; 2y2

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Q: Differentiate the function with respect to the independent variable. f(x) = log 5 (x° +x) F(x) =D…

A: We have to differentiate with respect to x. Solution is given below

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

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Q: Use the properties of logarithms to expand log (zy).

A: Properties of Logarithms :i) log(ab) = log(a) + log(b)ii) log(ab) = b log(a)

Q: Use logarithmic properties to write in simpler form. In xy In xy =

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Q: State whether the following statement is true or false. Because the domain of ​f(x)=logax is the…

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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

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Q: Use the properties of logarithms to simplify the following functions before computing f 1x2.

A: Given expression: fx=lnsec4x tan2x

Q: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: 59. Is x 0 in the domain of the function f(x) log(x)= If so, what is the value of the function when…

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Q: Express the quantity as a single logarithm.

A: Given 13lnx+23+12lnx-lnx2+3x+22 The properties of logarithm used here are…

Q: Express th equation in exponential form.

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

Q: Use logarithmic differentiation to compute f'(x), where e" (x² + 1)4 x³(1 – x)5 ° f(x) = - Do not…

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

A: Introduction :

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: Differentiate f (x) = loge (x26")

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Q: Determine the approximate values af log3 (VI6,0L + V24.99 (Instruction d logax dx In a

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Q: = log z in the regio

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Q: Expand the log by using the properties of log.

A: The given log function is,

Q: Use the Laws of Logarithms to expand the quantity.

A: Use the Laws of Logarithms to expand the quantity.

Q: Express the ratios in as ratios of natural logarithmsand simplify.

A: Given expression as K=log2xlog2x Since logab=log blog a

Q: Determine whether the equation is true or false: x log 10x = x2. Where possible, show work to…

A: Consider the following formulae: logmn=nlogmlog10=1 Consider the following expression:…

Q: Differentiate the function.

A: Given: y=2xlog10x To Find: Differentiate the given function. Concept: i. Product…

Q: Differentiate the function.

A: To Determine: differentiate y=log2e-xcosπx Given: we have a function y=log2e-xcosπx Explanation: we…

Q: Use the properties of logarithms to expand the quantity.  ln  x 2   / ( y 3  z 4 )

A: It is given that, lnx2y3z4 Use the properties of logarithms,we have to  expand the quantity.

Q: Differentiate the following logarithmic functions and show that y=ln(x+5)2≠[ln(x+5)]2

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Q: what is intergral log x /x

A: WE HAVE TO INTEGRATE

Q: y = Arccos (logx); y' = * %3D

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Explanation of the answer is as follows

Q: Use the logarithm rules to expand the logarithmic expression as a sum, difference, and/or constant…

A: Use the Lograthmic rules to expand the Lograthmic expression as a sum , difference and /or constant…

Q: Vx²-1•sin x y%3= %3D (2x+3)4

A: To find: The derivative of y=x2-1·sinx2x+34 using logarithmic function. Formula used: The derivative…

Q: Express th equation in exponential form.

A: (a) Given expression is log35=x. Express the above equation in exponential. logab=c, then…

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

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Q: Differentiate the function y 2x log4(Vx) У' 3

A: Firstly, we use product rule of differentiation which states that (uv)'=u'v+uv'

Q: Express single logarithm: log; x + 2 log, y – 3 log; z as a

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