find dy if by using logarithmic

Q: Given that log x -3 and log y = 5, find log Vy.

A: The given expression is logx2y35 and logx=3   and   logy=5

Q: Find y' of y = log5(4x + 3)

A: Given that

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

A: Solve the following integral

Q: y = log,(8th): In2)

A: Given,          y=log28tln2

Q: Find y^1 if y = log(cot x)

A: Given y = log(cot x)

Q: D log (xag) + log (xl)

A:

Q: (a) Find if y(x) = log3(729) sec(In(r)) + In()r+ e

A:

Q: Show that log, (Vx + Vx – 1) + log.(Vx – Vx – 1) = 0.

A: To show that logax+x-1+logax-x-1=0. Solution: We know that, logm+logn=logmn Simplifying the left…

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

A: Given that

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

A:

Q: If y = log, x then x = y* %3D %3D Select one: O True False

A: Given that ,                 Now, by the definition of logarithm, if and only if       Here,  and…

Q: Find , given y = log(ev+x²). dy dx

A: Given y=logex+x2  We find dydx The differentiation formula of logarithm is ddxlnx=1x and the power…

Q: Calculate y' if y = 4 log(x³e*)

A: Here, the given function is: y=4log (x3ex)  =4log x3+log ex  =43log x+x log e  =12log x+(4log e)x

Q: Z= Logyx Find 근xx (2) 근 y

A:

Q: Determine y′(x) if y(x)=(4x^3+6)^sinx.  Enter an exact answer in terms of a natural logarithm.

A:

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: f(x) = (a

A: Here, let y=f(x)=x3x3ex3 Taking natural log (ln) on both sides: ln y=lnx3x3ex3⇒ln y=lnx3x3+ln ex3⇒ln…

Q: b- find x for following 1. logx = V2 2.ln(x + 1) = 5

A:

Q: Evaluate : |(log x)sin' x dx

A:

Q: If loga = x and logb-y, then log Vab is equivalent to %3D %3D

A: To find equivalent relation, we will apply basic logarithmic formulas to the given expression.

Q: Find dy/dx if y=log(-4x^2+2)

A: To find the dy/dx of the given function.

Q: Prove that : log 2 xp

A:

Q: Find d/dx(2^x) Type ln(x) for the natural logarithmic function.

A:

Q: if y = log(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: Evaluate the Pntegral loo Log (lo0n)dy

A: Given: ∫01100log10100xdx

Q: find the deliva tiva dy for the function by using logarithmic

A: Derivative.

Q: find y' if y = In (log10 x)

A: Given y = ln(log10x)

Q: Find a so that the graph of y = logax passes through the point (e , 2).

A: Given,

Q: Evaluate: dx (x+1) log(x+1)

A:

Q: If f(z) = 10", find f(log 2).

A:

Q: Find h" (x) if h(x) = log,(cos(x)) – e®z. -

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Q: dy =Log. Loc

A: Using logarithmic property we can solve this problem.

Q: = log z in the regio

A:

Q: Solve for A: AR+AT=E

A:

Q: Find dg Using Logarithmic differentation y =3 2x +1

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Q: If p(x)=(x3+2x)^sinx, find p′(x).  Enter an exact answer in terms of a natural logarithm.

A: As the given function :- P(X) = ( X3 + 2X )sinx  P'(X) = ?

Q: If y = LOGa(x), then y = ax.

A: The solution is :

Q: l Fied dx/dy if y Loglaha) Lag (xlogx)

A:

Q: Find Log (x In x) Log (x Log x ) dx if

A:

Q: d -log(z) = dz z O O 2- 1

A: We need to differentiate the function log(z) with respect to z. Differentiation is the process of…

Q: Find d/dx(4^x). Type ln(x) for the natural logarithm function.

A:

Q: Find dy if y =log Viax alog (L_x²) a .2

A:

Q: Find the derivative of Log(22³). 1/22 3/z 2/z

A: Given problem is  : ddzln2z3

Q: Evaluate So ·∙log 1+ax 1-ax (: ( dx x√√1-x²

A: A very good problem. This problem illustrates the power of differentiating under the integral sign.…

Q: Given that log z = 2, log y= 3 and log z = 4 find log () %3D %3D %3D O 29 O 25 O 31 O 26 O 27

A: