3. Rewrite the following logarithmic expressions in condensed form. log, 9 – log2 y +log, x – log2 3 b. -8 log , (3n – 1) – 10 = -10 b. (In 8x² – In 4 – 3 In x – In y) -5 log, (-10x+6) + 9 = –11 c. 4. Solve the following logarithmic equations. Check for extraneous solutions. a. log, (-20 + 2r²) = log, (3r² + 9r) d. log2(x + 5) – log2(x – 2) = 3

Q: (a) log,(5x – 1) + 6 = 9 (b) 163x+1 = (4)*-1 %3D (c) In(x + 6) = In(11) – In(x – 4)

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Q: (1) Solve the following: (a) 42x-1 = 64 (b) 81–x = 4x+2 (c) 22x + 2x – 12 = 0 (d) In 3 – In x –…

A: we have to solve the following.

Q: Express the following logarithms in terms of ln 2 and ln 3.c. ln (1/2)           d. ln( 9)^1/3

A: Given: c  ln12  d ln913 Formula Used: 1 lnmn=lnm-lnn2 lnxn=nlnx

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

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Q: (11) Solve the following logarithmic equations: (a) log, (3x)- log,(6) = log,(77) %3D (b) 9 + 6 In…

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Q: Q2: Solve the Logarithms Equation. logtan nz (2 + 4 cos ?nx) = 2

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Q: 7. The expression 4 log x -- log y + 3 log z can be rewritten equivalently as (x*z' (3) log 2y (1)…

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Q: Solve the following equations a) 3(2***)-1= 8 b) logg(x +3) =1- log,(x+ 4) c) 7*-4 +3 = 9 d) In(x–…

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Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – Inx – In(x + 5) = 0 (c) 22x + 2x – 12 = 0 (e)…

A: Solve the following  c)22x+2x-12=0 e)log4 x+2-log4 x-1=1 f)log2x-1-log2x+3=log21x

Q: 4. Find the value of x in each of the following (convert to exponential form to help!). a) logX = 2…

A: Note:  Hello User, as per company policy we should answer only for first three subparts of the…

Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log„1121 b.…

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

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Q: Which of the following represents the domain of h(t)=−log(x)+3?   (2,∞) (−2,∞) (−∞,∞) (−∞,0) (0,∞)

A: Given function :

Q: Solve the following: 1 (ii) log, (x+3) =1-log,(x-1) r-6 (i) 2" 8.

A:

Q: (1) Solve the following: (a) 42x-1 = 64 (b) 81–x = 4x+2 (c) 22x + 2* – 12 = 0 (d) In 3 – In x –…

A: Hey, Since you have posted multiple questions we will answer the first three subparts. if you want…

Q: 5. Find y' and y". f(x)= log,0 x Find y' if y=In(x²+y?) 6.

A: f(x) = log10x ∴ f'(x) = 1/x and f"(x) = -(1/x2)

Q: Solve the following logarithmic equation: z=7, k=3 log;(Z + 8)x7 – log3(2K +9)x³ = log;(Z + 5)x² +…

A: Given,         log3Z+8x7-log32K+9x3=log3Z+5x2+4Z+K-6         When Z=7 , K=3

Q: 1) Solve for x and y in the following simultaneous equations *a) log, x = 2; 5y= x +12 log, y *b)…

A: We have to solve for x and y in the following simultaneous equations.

Q: 2. Transform the following exponential forms to logarithmic forms or vice versa. f. log2 8 = 3 g. 9x…

A: Since there is multiple questions, we will solve the first 3. Repost the question again to get the…

Q: If logy =c- log,x, where y> 0 andx > 0, then y is equal to A. c-X В. 3 D. C.

A: To solve the given logarithm

Q: 3. Solve the following equations for x: (a) 3*4*+2 = 8 (d) log₂x = 2 (b) 3 lnx + 2 ln x² = 6 (e)…

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Q: Solve for r: log(z) + log(z + 4) = 5

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Q: 0:A-If y = 2cc (20) and x = etot(20), Prove that: - (answer one only) dy *- (In2).. log, x %3D dr B-…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 8. Express as a single logarithm and simplify if possible: log x + 4 log y – 2 log z A. log 3(술x +…

A: Our Objective is to simplify.

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

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

Q: D) log3 (x² – 5) = 2

A: To solve the equation for all real values of x log3(x2-5)=2

Q: 12. Solve the following equation * 3 poin log, x + log, (x -9)= 2 O 12 О 3, 12 О з 8. O -8 O -2, 8 O…

A: We use the formula logam + logan = loga(mn) logab = c    →  b = ac

Q: Find the solution for x: log (vz+1+1) log Vz- 40

A:

Q: 3. Rewrite the following logarithmic expressions in condensed form. log2 9 – log2 y +log2 x – log 3…

A:

Q: 2 log , x + 12log, y

A:

Q: 2. Express the indicated logarithm in terms of a, b and c with the assumptions that log 2 = a, log 3…

A: To express the indicates logarithms in terms of a,b and c.

Q: 4. Solve the following logarithmic equations. a. 2logx = log2 + log(3x – 4) d. logx + log(x – 1) =…

A: The logarithmic properties; 1). logbmp=plogbm 2). logbm·n=logbm+logbn 3). logbmn=logbm-logbn 4). If…

Q: - If y=a² 1-log.x and z=a* 1-log, y , then x is equal to

A: Introduction :

Q: I need some help on ii for #1 please!

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Q: given that ln 2 = x, ln 3 = y, and ln 5 = z, express each of the given logarithmic values in terms…

A: Given:   ln 2=x , ln 3=y, ln 5=z   To find:   The logarithmic values in ln 30 in terms of x, y, z…

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

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Q: The solution of the equation Log(÷z4 + 2) = i27 is %3D 4 None of them O 1,-1, i,-i. • -1-i,-1+ i. |…

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Q: If log35 = 3y, log34 = 2x, and log,m? = 6, then log3(10C %3D %3D A. 3y+2x+ 6 В. бу + 2х + 12 С. бу +…

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Q: Which of the following expressions is equivalent to log(3) - 2 log(2x) + 3 log(y2) show your work…

A: Using logaritms formulae loga+logb=logabloga2=2logaloga-logb=logab We have given log3-2log2x+3logy2…

Q: 8. Let b be a positive real number not equal to 1. Determine the solution of the equation log, (2z –…

A: See the solution step by step.

Q: 4. Solve the following logarithmic equations: a) logx+log(x+15) =2 b) log,(x+1)= 1 +log, x d)…

A: We have to find value of x for given problem

Q: b. (3e* C. z? – 2z = log(-2), Calculate the value/s of z

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Q: Solve the following logarithmic equations. a. 〖log〗_3 (x-4)+〖log〗_3 7=2 b. log(3x-13)=2+log⁡x

A: The explanation of answer as follows

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

A: An equation is a formula that provides the equality of two expressions, by connecting them with the…

Q: (1) Solve the following: (a) 42x-1 = 64 (b) 81-x = 4x+2 (c) 22x + 2x – 12 = 0 (d) In 3 – In x –…

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Q: 2. Solve for x, to one decimal place. (b) 7* = 35 %3D (a) log, 56 = x

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Q: b) Given that log, (y-1)+log,|| |= z and log, (y+1)+log, x = z-1, Show that y? =1+8² and find the…

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Q: 1. Solve the following equation for r: log, (15x + 12) – log,( - 2) = 2

A: Given equation  log6(15x+12)-log6(x-2)=2 To find the value of x

Q: 2. Solve the following equation for r. log2(2.r + 3) – logz(r + 4) = 2

A: Use the properties of logarithm to solve this problem.

Q: Express the given equations in exponential form. 6. log,,0.04 = 2 9. log10 100 = 2 %3D 1 1 logs 7.…

A: