6. Solve for a with each of the following: (i) (32)³=+1 = 128 (ii) log;(4x – 3) = log3 (9) (a) (iii) 9 (})" = 4 + 2 (4)"

Q: 4 log(2?) + 7 = 11

A: We have to find the value of x.

Q: Compute the following: (a) (1+ V3 i)12 write answer in the form x + iy. (b) e³+ri write the answer…

A:

Q: Solve the following: 3 log () – (3 +0) = log(10m³n) %3D |

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Solve for x in log,(x+1) + log4(x – 1) = log4 15 . A. x= 5 В. х3 4 C. x= 14 D. x= 3 or x = 1

A:

Q: 3x (37) 2y (d) In (e) log₂ (x³) (f) In (2x³e4)

A: Expanding given terms.

Q: Express log (x²/y°) + 4 log y - 6 log Vxy logarithm. as one

A: Given expression is,  logx2y3+4logy-6logxy. It is simplified as follows: logx2y3+4logy-6logxy Apply…

Q: Problem Set: B (1) Solve the following: 1 (i) 2*/2-16 = 32 (ii) log, (x- 2)+ log, (x) =1

A: Solution 1: Given that 2x2-16=132 we can write it as 2x2-16=125⇒2x2-16=2-5         ∵1am=a-m Since…

Q: (5) =7. Find the following: loga g) loga (1,000, 000, 000)

A: Given: loga2=3 and loga5=7 To find loga1,000,000,000

Q: Evaluate loge 7 by simpson's (i) 1/3 rd, and (ii) 3/8 th rules.

A:

Q: Find the Re(z) and Im(z) z=logₑ(7+i)^4

A:

Q: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

Q: Which of the following is a solution of the equation 11 · 4* = 7 · 5*? Select one: a. x = 11/7 b. x…

A:

Q: 4. Solve for x log (35-x³) log (5-x) = 3

A: Given log35-x3log5-x = 3

Q: 1/2log(4x+5)=logx

A:

Q: Identify the domain of the following functions: (a) f(x) = log (-7x-5) Domain: b) f(x) = In (2x-4)…

A:

Q: log, (4) = 1 %3D

A:

Q: 7. Determine the general value of the following: a. In (3+j5)i b. log(-5) (6+ j4)(l+/2) С.

A:

Q: Find a possible formula for the exponential function through the points (-1, 18) and (2,6/9) graphed…

A: SOLUTION-

Q: lator: log, (81 9 est tenth: 12* = 38

A:

Q: A3. (a) (i) Express 2ln x – ln √x as a single log in its simplest form.[

A:

Q: 16. Solve. a) log (²x) = Text 2 b) log4(x²7x − 18) - log4(x + 2) = 3

A: a) log3⁡(2xx−7)=2

Q: Solve the following for x:

A: 1)To solve the equation ((1/5)x+1=125x), we can rewrite (125) as (53) since (125=53). Then the…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.