QUESTION 4 Solve for x. In(7x) + In(x) = In(343)

Q: Question#03 Solve by any appropriate method. x*y" + 2r'y"-xy' + xy = x*sin(Inx) Question#04

A: 3. we have given equation  x4y'''+2x3y''-x2y'+xy=x2sin(lnx) ...(i)    now divide equation (i)  by…

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

A:

Q: b. Express (cos(40) + i sin(40))Fin exponential form

A:

Q: Question 11 10) -2 2 E. zeros (or solutions): F. Find x when f(x) = 0: G. Find f(0) K

A: Given a graph of  a function. To find, E) The zeros of the function. F) The value of x when fx=0. G)…

Q: QUESTION 5 Jse the three-point formula to determine each missing entry in the following table. fx) -…

A:

Q: Question 24 One end of a ladder 34 feet long slides down a vertical wall while the other end moves…

A:

Q: Question 23 > Solve for x: 2" = 38 You may enter the exact value or round to 4 decimal places.

A: we have to find the value of x for the given equation

Q: Solve: In e* = 30.

A: we know that  logab=bloga log e =1

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

A: Take a function y= 2lnx - x*ln2

Q: QUESTION 6 Find the solution of 1 x'= where x(0) = %3D 0-1 a. O b. Oc. O d. none of the above (). e.

A:

Q: Question 1 A body cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take…

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Q: II 5Tt 5. Solve: 3 sin-(2x -3) - 플=D . (2x-3)-

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

A:

Q: Which of the following is the same as ln(9x) - ln(3x)? (a) ln 6x (b) ln(9x)/ln(3x) (c) 6 . ln(x) (d)…

A: Given: The expression ln9x-ln3x . By using the logarithmic property lna-lnb=lnab, the given…

Q: Find the exponential function y = ab whose graph passes through the points (3, 108). y = > Next…

A:

Q: Q.1. Using Newton's - Raphson Methods to find solution accurate to 10* for the following equation…

A: given equation is (x-2)2=lnx  so f(x)=(x-2)2-ln(x) we will use Newton's-Rapshon Method to calculate…

Q: Question 8 Prove that )- ()•() - () ·+(-1)" (") +.+ Note that this equation can also be written as…

A: Let's find.

Q: Evaluate the expression, ln (1/e2)  without using a calculator. If evaluation is not possible, state…

A: Evaluate: ln1e2

Q: 17. Find the root of 3x – e-x = 0.

A:

Q: Solve the given equation for x.   ln x4 - 2 ln x = 1

A: lnx4-2 lnx=1

Q: Question 13-16 Identify the property to be used to solve for x

A:

Q: 4) sec2 0-6=-4

A: Question-  Solve trigonometric equation- 4.  sec2( theta) - 6 = -4

Q: The solution of 29 + 12 log3 (7 – 5x ) = 65 %3D -

A: 29+12log3(7-5x)=65

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: Question 4 of 5 Find three positive numbers whose sum is 39 and such that their product is as large…

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Q: Example 4: solve ý + 4ý + 13y e cos 3x

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Q: Solve the given equation for x.     ln[(x - 3)(x + 2)] - ln(x + 2)2 - ln 7 = 0

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Q: Find graphically approximate value of the root of the equation an 3 – x = e* - 1.

A:

Q: Question 4 (a) Solve 2* = 3 for x correct to 2 decimal places. (b) Solve 2* = 5 for x to 4…

A: a) 2x=3 ( 2 decimal places) b) 2-x=5 (4 significant figures)

Q: what is exact value? 1) ln(ln(x))=0 2) 30/(4+e-x) = 3

A:

Q: 3-2-3 = V3. x =

A: Just I have used the fact that when two numbers are equal with same base then their exponents will…

Q: Question 11 tan - (i- 3) = || + i0 + 12KT Log -2 Logi- + i0 – i2kTt Log - i0 + i2k T - Log + i0 +…

A:

Q: 3 1+ sin x x² dx

A:

Q: Solve thi

A: (A)

Q: Question 5: For small e determine the three-term expansion of the roots of given equation x3 + ex2 –…

A: It is required to find the roots of equation

Q: 21. Solve the equation: a) 2 tanh-1x = In 3

A: Given, 2 tanh-1 x = ln 3

Q: QUESTION 7 sin -' (-i) = -i log(i + /2) -i log(1 + /2) i log(1 + /2) -i log(1 – /2)

A:

Q: QUESTION 8 sin-1(-i) = %3D o -i log(i + /2) o i log(1 + /2) -i log(1 -/2) -i log(1 + /2)

A: Option 3 and 4

Q: Find simpler expressions for the quantities eln πx-ln 2

A: Given,           elnπx-ln2

Q: Problem D. Let s> 0. Prove 1 sin? r dr = log (1+ (1+).

A: The solution is given as

Q: Question 5 The first approximation(p,) of the root of the equation f(x) = x° – 2x² – 2=0 by Newton…

A:

Q: QUESTION 8 sin -1(-i) = o -i log(i + /2) -i log(1 – /2) o -i log(1 + /2) i log(1+ /2)

A:

Q: 4. sin x dx 2.

A: Solving question number 4

Q: QUESTION 8 Log 2 0.69 - i 2 -0.69 +i 2 -0.69 - i -0.69 – 2i II

A:

Q: Question 7 4 + 7x + 2 dx Find x2 + C

A: Solution:

Q: Question 11 The value of x that would give an extraneous solution, 1 х — 1 x – 1 is x =

A: We want to solve given expression

Q: If a is a positive constant, what is the solution to the equation 3 + 2 ln(x) = ln(a)?

A:

Q: e lim

A:

Q: Solve the following equation. ln x = -1

A: Given equation:                              lnx=-1

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.