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: If log, (4x + 6) = 3, then x = %3D

A: Given:          log2(4x + 6) = 3   To find x

Q: (1) (a) Solve the following: 1 (i) 2*-6 8 (ii) log, (x+3) =1– log, (x-1) = -

A:

Q: D log (xag) + log (xl)

A:

Q: 8) Solve for x: log x = log 3 + 2 log 4 %3D

A: In this question we need to find a value of x

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: he expression logx (ab) is equal to   1. logx (a+B0 2. (logxa) (LogxB) 3. log (ax+bx) 4. logx a…

A:

Q: Write an expression equal to log, (5) + log,(6) using at most one log.

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Q: log, b* =

A: logbbx=____

Q: (a) log, 8 - log, 5 log, (b) log, 3 + log₂= log₂ 21 (c) - 4log, 3 = log,

A: (a) log38-log35=log3_ (b) log23+log2_=log221 (c) -4log93=log9_ We have to fill in the missing…

Q: Q-1: a) Describe the domain of the function f(x) = √15x² + x − 2. b) Solve for x the equation log3…

A: (a)  We have to find the domain of f(x)=15x2+x-2 x∈Domain then…

Q: Expand log6 (64x³[4x+1] ÷ 2x-1)

A:

Q: Which of these are equivalent to log(7x) + log(6x)? Select all that apply. log(42x²) log(13x) 2…

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Q: log, (5x + 8) = log,(9x) 5z +8 =

A:

Q: 2log₁63 = log₁

A:

Q: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

Q: - please write legibly :)

A:

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: Express as a single logarithm and, if possible, simplify. log (x²-2x-35) - log (x²-25) log…

A: Given the logarithmic expression logx2-2x-35-logx2-25. The objective is to express as single…

Q: ) log(x − 1) − 1 = − log(x + 2)

A: Given,             logx-1-1=-logx+2

Q: If log, (4x + 4) = 5, then x

A: SOLUTION-

Q: Write as he sum and/or difference of logarthms. Express powers as factor In (7x)3 sqrt 1+2x/ (x-6)3…

A:

Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

Q: Find the value of x, if log(x+5)+log(x-5)=4log2+2log3

A: