Solve the logarithmic equation for x. (Enter your answers as comma-separated lists.) (a) log(2x) = 3 %3D х 3 (b) log(x + 1) + log(7) = log(9x) х3 9 In(7 – x) = 8 (c) х 3 (d) log2(x + 2) + log2(x – 1) = 2 х 3

Q: Find the domain of the logarithmic function :  f(x) = ln(x2 - x - 2)

A: Inside log we can not have negative number. So, x2 - x - 2>0

Q: Number 3.  Solve the following equations for x: (a). 82x = 2x + 5 (b). log4 (7x + 1) = 3

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Q: Solve the logarithmic equation   6 log3 0.5x = 11 algebraically. Approximate the result to three…

A: The following logarithm property will be used to solve the equation: The given equation is .

Q: log4(x - 2) = 1

A: Given: log4x-2=1 To find the value of x

Q: e-2x 2+x In 3x csc' x -) f(x)=. b)Use logarithm to differentiate: y = (3х-1)

A: a)f(x)=ln(3x)csc2x-x5e-x3f(x)=sin2x. ln(3x)-x5e-x3differentiating w.r.t…

Q: log. (2-1)-log. (x-u)= 2 log Cao) (x-4)=

A: Use the following properties of the logarithmic functions, while solving this equation. log a - log…

Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

A:

Q: Solve the logarithmic equation for x. log3(x + 15) - log3(x - 1) = 2

A: log3x+15-log3x-1=2

Q: Solve the logarithmic equation for x. log2 3 + log2x = log25 + log2(x - 2)

A:

Q: In(x-글) + In(2) = 2 In(x)

A: Please refer the attached image for complete solution. THANK YOU.

Q: "b) Find the value of log (-3 – 3i).

A: you can clearly understand if you follow the below solution

Q: Find the domain of the logarithmic function f(x) = ln(x - 1)2.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: If  x is an integer then solve (log2x)2-logx4 - 32 = 0

A: The given equation is (log2x) 2 -logx4 - 32 = 0

Q: Solve the logarithmic equation for the unknown x. log2(7x – 1) + log2 8 = 5 %3D

A: Given logarithmic equation is as - log2(7x-1) + log28 = 5log2(7x-1)+log223 = 5log2(7x-1)+3log22 = 5…

Q: (x-2) log.(x2 - 4) – 2 log (x-2) + loga (x+ 2)

A:

Q: Solve the following equation for x. log2 (9x+6)=2+log2(x+3)

A:

Q: 3(1 + 108x) = 8 %3D (a) Find the exact solution of the exponential equation in terms of logarithms.…

A:

Q: Solve the logarithmic equation for x. In( x - 1/2) + In 2= 2 In x

A:

Q: Solve (a) x = log3 1/81 (b) log x 1/16= -2

A:

Q: Solve the following equation for x. log2(9x + 6) = 3 + log2(x + 3)

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Q: The solution of the equation Log(-z4 +2) = i2n is 1, -1,i, -i. 1+ i,1-i. O None of them O -1-i,-1+i.…

A: Given equation, The aim is to find the solution, for

Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

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Q: 2 Solve the equation: A.)log 3(7x + 3) = log3 (5x + 9). B.)log 7(x - 2) + log7 (x + 3) = log7 14.…

A: To solve the given equation. A). log37x+3=log35x+9 We know that if logam=logan then m=n. Using the…

Q: 2-Solve the following logarithmic equations a) Log, 2 – log 4 x +7/6=0 b) 2 + 5(3*) =3(32*)

A: logx2-log4x+76=0log2logx-log4x+76=01logxlog2-log4x+76=012logx2log2-log4x+76=012logxlog22-log4x+76=01…

Q: 5. (a) Solve for x, if log1o(10x + 20)- log10(2x-6) = 1 (b) Given that log10 7 = 1.473, find without…

A:

Q: Find the domain of the logarithmic function : f(x) = ln(x - 7)2

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 4. Find all the values of z for which each equation holds. (a) Log(z - 1) = -i.

A:

Q: Find the domain of the logarithmic function f(x) = ln(x2 - 4x - 12).

A: Given :         f(x)= ln(x2-4x-12).

Q: 3 Solve the logarithmic equation log(x – 1) + log(x – 4) = 1. A {1} (1, -6) B (6} D {-1, 6} E {1, 6}

A:

Q: The exponential form of log(x)+log(y)=-2 is: x-y=10^-2 10^xy=-2 x+y=10^-2 xy=10^-2

A: This question is related to exponential and logarithmic equations, we will solve it using given…

Q: log/ yx-y+3 1-4xt y 4X - log 3 4x ニ

A: Graph

Q: Solve the logarithmic equation. log (x- 2) - log a(x + 9) = log a(x- 5) – log (x + 4)

A: Given equation logax-2 -logax+9 =logax-5-logax+4

Q: Solve the logarithmic equation for x : log2 (x - 2) + log2 (x - 3) = 1

A:

Q: Find the domain of the logarithmic function : f(x) = ln(x2 - 4x - 12)

A: Our Aim is to find the domain of the logarithmic function:-f(x)=ln(x2-4x-12) -(i)

Q: log3 (x^2-2x)=1

A: Given expression is,

Q: Find the value of log(-2). o 0.3 + 1.364i O -0.3 - 1.364i O 0.3 - 1.364i O -0.3 + 1.364i

A:

Q: Solve the logarithmic equation for x. (a) log(2x) = 3 (b) log(x + 1) + log 2 = log(5x) %3! (c) 5…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Solve the following equation for x. log2(12x + 10) = 3 + log2(x + 2)

A: To solve the given equation for x.

Q: log2(x2 + 2x) = 3

A:

Q: log3 (x2-2x)=1 a) {-3,1} b) {1} c) {3,-1} d) {3}

A:

Q: 8. Solve the logarithmic equation for x: log, (4- x) = 7 (1) x = 2191 (2) x = 2183 (3) x = -2191 (4)…

A: We have to solve the logarithmic equation  log34-x = 7.

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

A: The given logarithms equation is  logtan nx(2 + 4cos2nx) = 2

Q: Solve the equation for x .   a) ln( x + 1) + ln( x - 1) = 1  b) log5(c x)= d

A: Part (a) - lnx+1+lnx-1 = 1lnx+1x-1 = 1                                  lnab = lna+lnblnx2-1 = 1…

Q: 12.) Use the laws of logarithms to combine: 1 2 log x log(x² + 1) - 2

A:

Q: Solve the logarithmic equation for x. LOG3(x + 3) − LOG3(x − 3) = 2

A: