log2 (x + 5) – log2(x – 2) = 3 log x – log 6 = 2 log 4 log x + log(x – 3) = 1

Q: 1) 2-log₂ y = 2log₂ (x+y) log₂ (x+y)+ log₂ (x² − xy + y²)=1

A: We have to solve given problems:

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A:

Q: log(-x) +log(2 – x) = log( 3)

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: log2x + log₂ (x-3) = 2

A: Solving for x

Q: log2 (x − 1) − log2(x + 3) = log2 (1x)

A: We need to solve log2 x − 1 − log2x + 3 = log2 1x. So,               log2 x − 1 − log2x + 3 = log2…

Q: 4 log4 2 + log4 (x - 6) - log4 x

A: 4log42+16log4(x-6)-12log4xUse clogb(a)=logb(a)c  =log424+log4(x-6)16-log4x12Use…

Q: 3x = 76x-5 d. log2(x+30) + log2x = 6 e. 2x^2 = 162x-3

A:

Q: log2 (3x – 1) = 3 log,(x + 32) – log.(x - 3) = 2

A:

Q: log(x^2+2x-8)=2+log(x+4)

A: Given equation is log(x2+2x-8)=2+log(x+4)

Q: log3(1– x) 2 log3 (x + 16 – x²)

A: Given inequality for the logarithm function can be solved by general formula of the logarithms.…

Q: log3 (x + 2) + log3(x – 4) = 3 a. b. log3(2r – 1) – log3(x – 4) = 2

A: Consider the given data and solve the function

Q: C) Log3(2x - 1) + Log3 (x + 1) = Log3 (x + 3) + Logę (x + 2) -5x D) +e 2 = 3

A: Let's solve for x.

Q: log₂ (x + 4) - log2 x = log₂ (x + 2)

A: To solve the following equation.log2x+4-log2 x=log2x+2

Q: The solution for 4 - log₂(2-3x) = -1 is: A. x = -2 B. x = 2 C. x = -10 D. No solution

A:

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

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Q: f (x) = x* (Domain and Range) f (x) = log2x-1(x² – 3x – 10) (Domain only)

A:

Q: Write each expression as a single logarithm

A: Given: 3log53x+1-2log52x-1-log5x

Q: tan -1 (i – 3) = Log O -2 i-11 + i8 + i2kπ Log i-1|+i0+ i2kㅠ Log i-11-18+i2kㅠ | O 2 3 + 18-12kㅠ Log…

A:

Q: 5) log3 x + log4 x = 4

A:

Q: log [x (x - 4)] = log 12 %3D O x = -6; x = 2 O x = 6; x = -2 = -6; x = -2 O x = 6; x = 2

A:

Q: Solve

A: Use subtraction property of logarithm

Q: 1) f(x) = Vx- 3+ V5-x 2) f(x) = /3 – log2 x2- (log2 x)² %3D %3D

A:

Q: log(x-3)+log(x+1)=log12

A: Given equation

Q: log3 (x+5) -log3 (x-7)=2

A: We need to solve the following equation log3x+5-log3x-7 = 2

Q: log2(x+1)-log2(2-x)=3

A: Given that:   log2(x+1)-log2(2-x)=3NOTE:  First expression has two values.So need to be corrected.

Q: log 2 ( x2 -1) - log2 (9 x + 1 ) = 2 а. b. log 9 27 = m %3D

A: To evaluate the given logarithms.

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A: The graph of a logarithmic function is given. Match each graph to one of the following function…

Q: log3 (x + 15) = 2+ log3 (x – 1)

A: On solving ,we get

Q: B- log2(3x + 5) - log2(x - 5) = 3

A:

Q: B- log10 (3x – 7) + log10(3x + 1) = 1+ log10 2

A: Take both as to the 10th power

Q: log 2 x+ 2) + log 2x- 2) = 5

A:

Q: 4 log 2 - log3 + log16 = x

A: This question is about solving linear equation in logarithmic

Q: 1 =-5 log2 32

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: 3. 2 log x< log (2x-1)

A:

Q: tan -' (i – 3) = Logi-1+ i0 + 12*T -2 Log i-1 -1- i0 + i2kn Log -1+ 10 + i2kT| O 2 2 -i-1|+i8-12kπ 3

A:

Q: log3(x-5)+log3(x+3)=2

A: our objective is to find the value of X.

Q: log 3(x+ 11) + log 3(x + 19) = 2

A: Solution

Q: 5. If log 0.3 (x-1) < log 0.09 (x-1), then x lies in the interval c. -2 <x<-1 d. 1<x< 2 a. 2<x < b.…

A: If log0.3(x-1)&lt;log0.09(x-1)

Q: Solve for all possible values of x. Use exact values. a) log x – log 3 = log 13 + log 2 b) log.(x +…

A: Solving the problem by obtaining the values of x and n.

Q: I .   Solve for  x:     log 10  ( x   +  6  ) +   log10 ( x  -  6 ) =   2…

A: We have to solve for x: log10(x+6)+log10(x-6)=2and  12loga(x+2)+12loga(x-2)=23loga27

Q: log(3+x)-log(3-x)=log(3) solve and express in exact form

A: Given expression is,log(3+x)-log(3-x)=log(3)Then,

Q: log3 (x) + log3 (x-2)=1

A:

Q: (1093x-21093x+5) The equation log3x-2 X exactly three real solutions at least one real solutions =…

A: Consider the given equation, xlog32x-92log3x+5=33 Let us assume that log3x=m,…

Q: 2 log(2) + 4log(y) - log(25) - 3 log(d) 2 log(2) + 4 log(y) -log(25) - 3 log(d) = =

A:

Q: log2(x+6)=2-log2(x+3)

A:

Q: Log(x^2 +3) = log(x+6)

A:

Q: log (3x +4) = log (5x-7) %3D x=2 x=11 x=2/11 x=11/2

A:

Q: ollowing for ! e log *=-6 log: (x + 3x +2) = 1

A: Given 1). log2x=-62). log2(x2+3x+2)=1 To evaluate for x

Q: Solve the equation.

A: The given equation is log x+2-log x=2 log 4. Solve this equation as follows.