3. Solve for x: log, (x+6)- log,(x-2) = 2 4. Solve for x: log, (x-5)+log,(x+1) = 4

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

A:

Q: Solve: 2 x log, (x – 1) = log, 48 – log %D x = -3, x = 5 O x=-5, x-3 x-3 x=5

A:

Q: log10(2x- 4) = 1+ log10 4, then 'x' is equal to ...............

A: We have to find x

Q: Find a number E such that log (5z + 1) = 2

A: The solution is given below.

Q: In(x-글) + In(2) = 2 In(x)

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

Q: 23. Solve for x: a) log, (x- 5) + log,(x - 2) = 2 b) 5*+2 - --2500

A:

Q: Express -log x+5log y as a single logarithm. (A) log -+5y ® log(Vry³) log(V+ y*) (D) log 2

A:

Q: 1 [log, (x- y) - log; (x+ y)]

A: Given that: 12log5(x2-y2)-log5(x+y)

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: Given

Q: Express as a single logarithm. (a) į In x- 2 In(x' + 1) (b) In(x – 3) + In(x + 3) – 2 In(x² – 9)

A: "Since you have posted multiple questions, we will answer the first question.  If you want the…

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

Q: Express as a single logarithm   In x2 -2x-24/x-2-In X2 +2x-8/x+9+ In(X2 -12x+36),  x>0

A:

Q: Solve for z.  Log(z)=1-i   (Also, is there a case where there are four distinct solutions?  Or…

A: Given logz=1−i We have to solve the equation logz=1−i for z Use logarithm property  logm=n⇒m=en

Q: If log3(3x +5) – log3(9x) = 2 then enter your answer for x as a fraction in its lowest form

A:

Q: 4. The domain of the logarithmic function f(x) = log, x is

A: fx=logax

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: To Discuss: a. Does fx=logarithm x, with base 12 approaches a certain real as xincrease positively?…

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

A: To determine the solution of the given equation.

Q: 1.Solve by logarithmic differentiation -(x+1)(x+2)(x+3)2 Y=In(- V(x+3)3 (x+4)*

A:

Q: 7. Solve for x using log properties: log(5x) – log(x² - 2) = 1 |

A:

Q: 2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

A:

Q: Solve for x: log2(x) + log2(x – 2) = 3 Solve for x: log:(x - 2) - log:(x - 4) = 2

A:

Q: 3. Express as a single logarithm: 3 log 2 + log x - log (4x) log(8x) A. log(4x) В. log (2) C. log…

A:

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: 25. Solve for x if log 3x = -2. А. 1 В. 1 C. -9 D. -6

A: Our Aim is to solve for x if log3(x)=-2 -(i)

Q: Solve for x. (a) In (x – 3) = 7 (b) In (x + 4) + In (x - 4) = 1 (c) log gx² - log ,2x = 3

A:

Q: Find all positive values of 'a' for which the equation log (ax) = 2 log (x + 1) has the unique root.

A:

Q: x-1 X-n x+n If y = x log show that y, =(- 1)" - 2 (n – 2) ! %3D x+1 (x - 1)" (x + 1)"

A:

Q: ) for the log equation log(x+1) + log(x-2) =1 The number of solution is ________. The sum of…

A:

Q: Write the expression as one logarithm . SNIPP

A: To rewrite expression as single logarithm. Using the properties of logarithm,

Q: 9) Solve for x and y in the following pair of simultaneous equations log (x+ y) = %3; 2 log x = log…

A:

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. Find the solution set of log3 (2x +6) + log3 (2x-2) = 2. |

A:

Q: Solve for x, log 7 (x − 4) + log 7 (x + 2) =1 and state restrictions

A:

Q: 7)Solve for x when log 10x - 2 = log 400 a) 40 b) 400 c) 4000 d) 40000

A: given  log1010x-2=log10400 log1010x=log10400+2log1010x=log10400+log10102…

Q: (b) Show that 1 1+ 2 tanh- (2) = ; log

A:

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: The number of positive integers satisfying x + log10 (2* + 1) x log105 + logi06 is ..

A: Introduction :

Q: Solve for all values of x. log; (4x – 7) + log; (2x – 6) = 2 |

A: apply log formulas

Q: If log (x + 7) – log, (7x) = 4 then enter your answer for æ as a fraction in its lowest form

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

Q: 5-Solve a) log3x + log3(x + 6) = 3 b) log10 (3x-2) -2log10 X+1 = 2 c) log, (1– x) + log,(2x– 5) = 3…

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

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y - 3 log, x 6.…

A: According to our company's guidelines I can only answer first three subparts of the question B since…

Q: 2. Solve for x: log, (x² + 8x- 20)–log, (x-2) =2 Ans 2 x=.

A:

Q: 4 If log3 (x + 1) – log3x = 2, then x equals: F - - 8. 6. G H 8. | 15

A:

Q: solve, g(x)=-3(1/5)x + 2 where g(x)= 0(using log may be) leave it in exact form not decimal.

A: Given that g(x)=0 So we will plug g(x)=0 and solve for x

Q: If log1,5 + log10 (5x + 1) = log10 (x+5)+1, then x is equal to :

A: Given data is : log105+log105x+1=log10x+5+1 To find the value of x . Use the property of logarithm :…