Step 2 Solve the new integral using the General Log Rule. Then, back-substitute x into the equation. (Remember to use absolute values where appropriate.) du = Injul + C x2 + 12x + 5 du dx = J+ 18x2 + 15x + 4

Q: Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.…

A: Given that 2log3x+4=log39+2.

Q: Solve the given equation for x.   2( ln x)2 + ln x - 1 = 0

A:

Q: Show that : log (1+ x) 1+x? dx = log 2 8

A:

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: Q2: Solve the Logarithms Equation. logtan nx (2 + 4 cos?nx) = 2

A:

Q: Solve for x: log (x + 3) + log x = 1. Show that the above equation will have an irrational root if…

A: Solution: To find value of x, log2(x+3)+log2(x)=1log2((x+3)(x))=1   (property of logrithm…

Q: If (ln x)/x = -2 ln 2, must x = 1/2?Give reasons for your answers.

A:

Q: Find the solution for x: log (Vz+1+1) log V- 40 -3

A:

Q: Q2: Solve the Logarithms Equation. n = 3 logtan nx (2 + 4 cos?nx) = 2

A:

Q: e3+j4(3+ j4)5 log ji' sin(3 + j4) j2022

A:

Q: Using the complex exponential function, Find integral e^(3x)*sin(2x)*x^7

A:

Q: A. Differentiate and simplify the result. 1. y = V4x + 3 log2(x² + 2) 2. y = 3vx2-3x+1 3. y =…

A:

Q: log 10x dx

A:

Q: Solve the given equation for x.  ln(x + 1) - ln(x - 2) = 1

A: According to the logarithm quotient rule, ln x-ln y=ln xy. Using the logarithm quotient rule combine…

Q: Solve for r: log(z) + log(z + 4) = 5

A:

Q: sinh 3x –1 H(x)=: 1+cosh 3x –1

A: Given: H(x)=sinh3x-11+cosh3x-1 To solve: The given function.

Q: +00 x* +3 4. dx x2 + 3x +1

A: The given function can be written as x4+3x2+3x+1=-21x-5x2+3x+1+x2-3x+8 Using ∫ f'xfx dx=log fx+c,…

Q: (x-3 x0t5)Y Sin(lgx) Sin(logx) %3D

A: Cauchy Euler second order differential equation Let us consider differential equation of the form:…

Q: Solve the equation log(x + 2) + log(x - 1) = 1 algebracially and graphically.

A: To solve the equation: logx+2+logx-1=1 Solution: We know that, logm+logn=logmn Solving the equation.…

Q: 2. Solve for x. log,24 – log,2 = logax

A:

Q: Please use the Problem & SoLution organizer to solve the properties of lLogarithms to condense the…

A: log3u-5log3v              =log3u-log3v5                   By Power Rule     ⇒w logb…

Q: 4. (-3x2 + 4x – 5)dx 1

A:

Q: 2 Solve (x²D² - xD + 4) y = x² sin (log x).

A: Given differential equation is x2D2−xD+4y=x2sinlogx. We have to find the general solution of the…

Q: 2 d log x dx Vs 2 In x dx d Are the solutions the same, different or cannot tell? Show all work ||

A: first we differentiate both separately and compare the solutions

Q: Use definition of hyperbolic function to show that 5e2z 1 2 cosh a + 3 sinhr Hence, solve the…

A: We need to prove: 2 cosh x + 3 sinh x =125e2x-1ex and then solve: 4 cosh x + 6 sinh x =ex This can…

Q: 2 2- X The integral loge dx is equal to

A: Introduction :

Q: Solve. Identify and reject any extraneous roots. a) log x³ – log 2 = log(2x²) b) log(x + 5) – 1 =…

A:

Q: Solve the equation exactly for x. log (6x + 31) · log(25x²) = 0 Enter your answers in increasing…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

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: Quèstion 2 log(2 – 3i) = 2.56 +0.98 i + i 2kt 2.56 --0.98 i + 2k TI 2.56 -0.98 i +i 2k TI 2 2.56…

A: We need to find the solution to log(2-3i). Options are given .We need to choice the correct answer.

Q: The principal value of tan-' (2i) is :Select one 1 +i-log, 3.a 2 1 loge 3+ i .b c. None of these 1…

A:

Q: Solve for r: log(z) + log(r + 5) 3 1 You may enter the exact value or round to 4 decimal places.

A: We have to solve the logarithmic problem

Q: Solve the following equations for x : (ex + e-x)/2 = 3 log x2 = (log x)2

A: The exponent of a number says how many times to use the number in a multiplication and the logarithm…

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: calculate the integral.

A:

Q: Solution to the equation Log(2iz + 1) = in is None of them z = ni z = i

A: Usually, log x is represented as log10x . If log x=y , then x=10y .  The natural logarithm, ln x is…

Q: dz Solve dx log (log 2)². z =

A:

Q: A population of bacteria, B, can be modeled using the exponential function B (x) = 3 (2)“ , wherez…

A:

Q: 4. Solve for x : log, (x – 3x – 88) –log, (x–11) =5 Ans 4 x = %3D

A:

Q: "dog 1) ]* dx 8. x(1+log²x) 2

A:

Q: The solution of the equation Log(z² – 1) = in is

A:

Q: log2(3x−8)=12   Give your answer for xx in exact form.   Do not use a decimal approximation for xx.

A: Assuming the given equation is:

Q: Solve for x: log(r + 5) – log(r + 2) = 2 You may enter the exact value or round to 4 decimal places.

A:

Q: f (x) = ex ln(5x) - ex^3 +2 + log(e2x^2), find f '(3)

A: The given expression is f(x)=exln(5x)-ex3+2+log(e2x2).

Q: Solve for z: log(z + 5) – log(z + 3) = 2 You may enter the exact value or round to 4 decimal places.

A: The equation to be solved is logx+5-logx+3=2   The properties of logarithm to be used are as…

Q: Evaluate the integrals. dx (Trigonometric subs.) 1) 4x² – 49

A: Given:            ∫dx4x2−49

Q: The integral of the square root of the difference when the square of t is subtracted from 2, with…

A:

Q: Given that log, x + 2 log4 y = 4, show that xy = 16. Hence solve for x and y in the simultaneous…

A: