x-3 5) Find the domain of the logarithmic function S(x) = log, (- ) x²-4x-12)

Q: O log (x)+Log (x-1) = log (8X-12)-1eogL2) %3D Ans/x= 2,3

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

Q: 11. Can the value of log, (-4) be found? What about the value of log, 0? Why or why not? What does…

A: Can the value of log2-4 be found? "No" Because we cannot able to get the value of  2x=-4 for all…

Q: How does ƒ(x) = logx (2) compare with g(x) = log2 (x)? Here is one way to find out. a. Use the…

A: We need to plot the two logarithmic functions :

Q: Family of logarithmic curves whose equation is Cy In (Cx). c.

A: The solution for asked part is given as

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: 1.) Solve the log ar ithmic equation. What is the solution set logz (x-3) + log2 (x- 2) – log2X= 1

A: Solution: As per our guideline we are supposed to answer only first question . Kindly repost other…

Q: 9. 8) logx -2 4. 3. I|

A: we have to find logx34=-23

Q: 2 2. + logio x - 3 = 0 10 %3D logx 10

A: 1logx102+log10x2-3=0Apply log rules:2log10x2-3=0Rewrite the equation with log10x=u2u2-3=0u=32,…

Q: 1 14) log, 3 + 2 log, 25-log, r 15) log x + log 5 = 2

A:

Q: (1+ax 1-ax dx Evaluate log x1-x

A:

Q: tan -1(i - 3) = Log – i0 + ¿2KT - O 2 3 + i0 – i2kTt Log O 2 - Log + i0 + i2kT 2. Log i-1+i0+i2k T…

A:

Q: 1+ax log 1-ax dx x 1-x Evaluate

A:

Q: 2- Solve the logarithms equations log(Cos x-1) Cos2 x -1 = 2

A:

Q: 17. log (x² + 3) - log(x + 6)

A:

Q: 7) log-2(-8) = x 8) logix = 5 2 9) 2* + 2* = : 10)3*+2 = 92x-3 2

A:

Q: Domain of the y = log, (r-3) logarithmic function is {r|x > 3}

A:

Q: Log(-z + 2) = i2 4

A: Consider the given expression, ln14z4+2=i2π The complex number is represented in three ways,…

Q: 2 log, u - 3 log, 4 log, V -

A:

Q: Write each expression as a single logarithm

A: Given,

Q: 111. Graph Y, = log(x²) and Y, = 2 log(x) using a graphing utility. Are they equivalent? What might…

A: Explanation: Given that,  Y1=logx2Y2=2logx

Q: 5. I. Given the logarithmic equation logo5 4 -2. Its exponential form is 4-2 0.5. II. Given the…

A:

Q: Log (3x-5)-109 (4x+1\ = Log x+6)-L09x+2 8, 8,

A:

Q: 6. 1- x Find the area of the region bounded by thex-axis, the y-axis, and the graph of y = 2- 2x +…

A:

Q: Solve the Logarithms Equation. sin 4 1 log2 (3 – X) – log2 + log2(x + 7) 5 - x

A:

Q: 2..3 I. 1.The expression log is equivalent to (2logx + 3logy - logz) 2) (2logx + 3 logy) – logz | 3)…

A:

Q: 1+x2 Through the proof of the logarithmic form of the function y-cschx-In(- |x| which of the…

A: The logarithmic function is the inverse function of the exponential function. The logarithmic…

Q: True or False: 1. All exponential functions of the form f(x)=a^x−h +k, where h and k are real…

A: To answer the given questions about exponential and logarithmic function.

Q: 7. log;(x²) =, x log5(_ 8. log,(y*) = x log-(. 9. log(V1000) = – x log( %3D

A:

Q: logarithmic form of x^3

A: Given y=x3

Q: Solve for x using natural logarithm. (Show solution) 1) 5x-2 = 33x+2 1 2) log, 1 1 = x logs t 3) 2…

A: Logarithms

Q: 3.) y = log, - 6·x³ -6.x³ y' = %3D

A:

Q: log 8x + log® x-2 - log® x-3 = 2 log° (x-1) - log³ (2x - 1) = 5

A: Given that log88x+log8(x-2)-log8(x-3)=2 Using the following properties, log…

Q: 1. a) Use logarithmic properties to simplify and then find the derivative. x²Vx4 – 1 = In (x² + 1)5

A: Given function is y=lnx2x4-13x2+15. To find the derivative of the function. Solution: Properties of…

Q: 43. Graph f(x) = 4x and g(x) = log4 x in the same rectangular coordinate system. 44. Graph f(x) =…

A: 43) Graph

Q: 30. log, (2) vs. log, (x) g(x) = log2(x)? Here is one way to find out. a. Use the equation log,b =…

A: a) We use  to express f(x) and g(x)

Q: a. Graph Y1 = log |x| and Y, = -log r². How are the graphs related? b. Show algebraically that -log…

A:

Q: Exponential 1.f (x) = 23x-6, when x = -1 3x+2 .1 2.f (x) = (-) x-7, when x = 2 Logarithmic 3.f (x) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: log(-x + V 2 log -x + x² + 1}• log{x + Vxn ,2 + V x +1

A: use property of logarithm.

Q: 12 log Vw + log Vw - ¿log u 2

A:

Q: logix +log, (x- 12)=3

A:

Q: 9. Find the domain of the logarithmic function f(x) = log(x +3)+log(x² – 6x +8). Sho %3D your work!

A:

Q: 1. Rewrite 2In(x)-3In(z) as a single logarithm

A:

Q: 5. log7 (4) = 7. log(x²+36) = 2 =log, (x-3)

A:

Q: log base 3 (x+3)+log base 3 (x-3) = 3

A:

Q: 1. y = -3+log, r 2. y = log, (r – 2) 3. y = - log, (æ + 3) 4. y = 2 + log,

A: we have to match

Q: 89+3 12 89+3 12 ) log( ) = log( log( log( ----- L-----

A: To solve the given expression

Q: 3) log 5x- log 8 = 3 4) log, x+ log, (r+ 1)= log, 2

A:

Q: loga(4)-10ga(x-5)=log, 8

A:

Q: Match the logarithmic function with its graph. I II y 1 + III IV 1 ++ (a) f(x) = -log2(x)…

A:

Q: log, 5 z 0.699 and log, 2x 0.301. Use one or both of these values to evaluate loga 125.

A: