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: 11. log( 2x + 9) + log( x + 3) = log( x² +1) Solve.

A: Logarithm is the inverse function to exponentiation. Logarithm of a number is the a quantity…

Q: In(t+7)=-1 in exponential form

A:

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

A:

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

A: Expanding given terms.

Q: S(x) = log, (4x + 11. Find /"(2).

A:

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: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

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: . Solve the following equations. (Se 10. 3 =15 11.log (x+2) = log (3x - 5) 12.log3 (2x+ 5) = 2 13.…

A:

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

A: Given log35-x3log5-x = 3

Q: - If 2ª = 5 and 2b = 3 what is the value of log₂ (75) in terms of a and b?

A:

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

A:

Q: Q3\ Solve for x: a. log(20x + 1) – log(x – 2) = 2 b. In(x - 2) + 2 in Vx+ 3 In6 %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: D. Solve for the following logarithmic equations 1. Inx = -3 2. 2logx = log 2 + log(3r 4) 3. logs(x…

A: As per our guidelines we are supposed to answer only first three sub parts of the question. Kindly…

Q: 9. Solve. log,(x- 3)+ log,(x+ 4) = 3

A: The objective is to solve.

Q: Problem Set: B (1) Solve the following: (a) 4*-1 = 64 (b) 8- =4*+2 (c) 22 + 2 -12 = 0 (e) log.(x+…

A:

Q: Find the value OF the Modulus oF Z in z=(2-1)(5+j12) 3.

A:

Q: L (a) Logx = 100 x²+2x-24=0

A: ( a ) log x2 = 100formula used log ( x )y = ylog( x ) log ( x ) = k ( x ) = ( 10 )k

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.