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

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

A: Given, graph where y=0 at x=3 y=log3x-1 satisfy this given graph  put x=3 y=log33-1y=1-1=0 now find…

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

A:

Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: 1. y = v4x + 3 log2(x² + 2) 2. y = 3vx²–3x+1

A:

Q: Solve the equation.

A: Given, log3x-2=log327-log3x-4-5log51 solve the equation log3x-2+log3x-4=log333-1…

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

A:

Q: 6 - 2 log2(4x) = 0

A: Given,           6-2log24x=0

Q: ii) 2 log, (x)– log2 (3x – 4) = log, (x – 1) – 1

A: We make the coefficient 2, exponent inside the log.  And for 1 we replace it by log22 because…

Q: 4.y=log10 (x4 + 3x² + 1) 5.y = log5 √x² +1 1-x² 6.y-log10 |2–5x3

A: Given 4. y=log10x4+3x2+1 5. y=log5x2+1 6. y=log101-x22-5x3         Derivative of the log functions…

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: How long will it take for $4,000 to grow to $9,000 if the investment earns an interest rate of 2%…

A:

Q: solve for x in log2 (x+3) + log2 (x-1) = log2 12

A: Givenlog2 (x+3) + log2 (x-1) = log2 12

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

A:

Q: 17. log (x² + 3) - log(x + 6)

A:

Q: 15. Solve log5(5 – 3x) – 2log;(7 + x) = 1

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Q: * (x-9) log2 y

A: Since, you have asked multiple questions in a single request, we would be answering only the first…

Q: 4. Solve for x log 2(x- 1) + log 2(x+5) = 4

A: Our Aim is to solve log2 (x-1)+log2 (x+5)=4 Solution⇒log (x-1)log (2)+log (x+5)log  (2)=4⇒log…

Q: 1) x³+ 2x - 2y = x² logx + x dx3

A: Since you've asked multiple questions, as per the answering guidelines we are supposed to answer the…

Q: Equation n(2-x) = 3 %3D b) log2(x) + log2(x - 7) = 3 c) log(x) – log(x - 1) = log(4x) %3D

A: ln(2-x) = 3(2-x) = e32-x =20.12-20.1 = x x = -18.1

Q: x² 6 + ,X log (x² + 7)(x³ – 5)² -

A: Laws of Logarithm:

Q: Solve the equation log(x + 2) + log(x - 1) = 1 algebracially and graphically.

A: To solve the equation: logx+2+logx-1=1 Solution: We know that, logm+logn=logmn Solving the equation.…

Q: 2. Solve for x. log,24 – log,2 = logax

A:

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

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Q: 1. y = e9z-5 2. y = 2x ln(x +2) 3. y = (2x – 5) log(3x² – 6æ)

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: 2 Solve (x²D² - xD + 4) y = x² sin (log x).

A: Given differential equation is x2D2−xD+4y=x2sinlogx. We have to find the general solution of the…

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: Solve the equation.

A: log57x=2+logx-2

Q: 13 Solve 2 log₂ (x + 4) - log₂ (2x + = 1 2

A: we have to solve for x.

Q: Solve for x: a) 52x+1 = 8 b) −4(log2 x)=12

A: Given :         52x+1=8-4log2x=12

Q: A: 2e2x-5ex-3=0 B: log3(x2-6x)=3

A: (A) Given equation is: 2e2x-5ex-3=0 Let us consider, ex=u Then we get,…

Q: قيمة x في log2s6 4 = x تساوي 1/2 O غير ذلك 4-

A:

Q: Differentiate.

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Q: 3. Solve forx: log x + log (2x/5) -6

A:

Q: Solve for x. 3-2 = 15 O x = log153-2 O x = log 15+2 O x = log3 15 +2 x= log3 15 - 2

A:

Q: 1. log3(2x – 1) > log3 x + 2 2. h(x) = logo.25 X 3. 2 + y = log3 X

A: " Since you have asked question with multiple sub - parts, we will solve the first three sub - parts…

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

A: Graph

Q: 5. y = log(7x + 3). 4²x¹+8

A:

Q: Find the greatest integer less than or equal to log29 S² log2 (x³ + 1) dx + (2x - 1)³ dx.

A: At first, we have to evaluate: I=∫12log2x3+1dx + ∫1log29(2x-1)13dx

Q: 4. y = log(x² – 7) 5. y = ln х+2 x-3 31

A:

Q: log(5x) + log(x – 1) = 2

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

A:

Q: log 7x+2 / 2 (x+6)=0

A: Given

Q: Q2: Solve the Logarithms Equation. sin log2(3 – X) – logz 1 + log2(x +7) 5-x

A:

Q: log 10x=4.2 solve for x

A:

Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

A:

Q: 1 3 log2 (x + 1) – 4 log2(x* + 8) +log2(x – 10) -

A:

Q: 2 log (5x)-3=1

A: We have to solve the logarithmic equation, 2 log5x-3=1 We know properties of logarithmic, m…