2. Solve x for each equation. Check for extraneous roots when necessary. a) 9-3*-8=0 b) 25(125)*+2, = 625 1-x c) Log (x-1) + log (2x -1) = 2log (x + 1)

Q: Solve the equation. Make sure to check for extraneous solutions A) log2 + log(k^2)=log(k^2+9) B)…

A: Solve the equation. Make sure to check for extraneous solutions A) log2 + log(k^2)=log(k^2+9) B)…

Q: Sdlue for x: a) 3¥ = 815 c) lag (2x-3) tleg(x-2)= lag(2x-1) d) 2-*= 2*"+2 Do not use log fer a) and…

A:

Q: 7. Solve the following. Check for extraneous roots. a) log₂ (x + 25) − log₂ (x - 1) = 3 b) log x +…

A:

Q: Express Log (34) 3+4i in Cartesian form (x+iy). Justify all of your steps.

A: Introduction: The Cartesian form of the complex number is z= x + iy Given: Log3 + 4i2 + i To find:…

Q: Express as a single logarithm and, if possible, simplify. In x6 - 3 In ³√x5 In x6 -3 In √x5=…

A:

Q: 2. Use the product property of logarithms to write as the sum of logarithms. Simplify where…

A: Given,  a  log464xy  b log100z clog22m.4n  We have to write the logarithms as sum of  logarithms.

Q: - please write legibly :)

A:

Q: 5. Solve the equation log(x +2)=1- log(x – 1). Identify any extraneous roots.

A: Solution

Q: 2. Write as a single log in simplified form. [3 marks each] log(6x² + 5x − 6) + log(2x − 3) −…

A: log(6x2+5x-6)+log(2x-3)-log(4x2-9)=log(6x2+5x-6)(2x-3)-log(4x2-9)…

Q: If log, 2 = x and log, 3 = y, evaluate the following in terms of x and y: 4x+2y a) log, 144= (b)…

A: Here, given that logb2=x, logb3=y

Q: Solve for x in each of the following. Make sure to check for extraneous solutions! a) log,(x - 4) =…

A: Given a log4x-4= log43x-1b log32+ log3x-5=4c log6x2-6= log6x