The solution of the inequality log(x- 4) > log(10z - 10) is: O z< 6.00 Oz> 3.33 OR<0.67 O r> 0.67 Oa<3.33

Q: 5. Solve for x using log properties: log3 (x) + log3(2x – 3) = 2 |

A: Consider the given logarithmic equation, log3x+log32x-3=2 use the logarithmic property,…

Q: Find a formula for the exponential function passing through the points (-3, 5/8) and (2, 20). y =

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Q: Solve the inequality. log x2 3

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Q: solve: loga (4x+4)= log₂ (-7x+19) = X= AS lenter DNE if no rolution)

A: topic - logarithmic equations

Q: Solve for x: log3x + log3 (x-8) = 2 + 8log51 and 2x - 15 is a.) -4  b.) 3  c.) 2  d.) 5  e.) 8

A: To solve

Q: Solve for 2x- 1 bl log4 (10-2)-0

A: (a) e2x-1 = 7 Taking log on both sides Ln (e2x-1) = Ln 7 (2x - 1) Ln (e ) = Ln 7.        { Ln ab = b…

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

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

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

Q: If k is a positive constant, show that x^2 e^-kx approaches 0 as x --&gt; ∞.

A: Given  The x2e-kx approaches 0 as x→∞.Where k is a positive constant .

Q: Solve the inequality log1/2(2x + 3) > log1/2(x - 2)

A: inequality:                                     log1/2(2x+3)&gt;log1/2(x-2)

Q: solve for the unknown. log3 y + 3 log3(y2) = 14

A: We have to solve the equation: log3y+3 log3y2=14 We know the properties of logarithm, m…

Q: log of the nth root of x equals log of x to the 1/n power and also equals to

A: The expression ax is the product of a with itself,  repeatedly x times. The function in the form…

Q: Solve for x in log3 (x- 7) + log3 (x + 4) = log3 26.

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Q: 15) Solve for x: log4 x = 4

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

Q: Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.…

A: Given that the equation is log2x-3+log2x-log2x+2=2.

Q: Solve for x.     (a) log3 x = −1     (b) log2 x = −4

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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: how do i go about solving this problem: log2(x^2+3x+4)-2log2(x+1)=

A: Explanation of the answer is as follows

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

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Q: Find a formula for the exponential function passing through the points (-1, 1/2) and (2, 32).y =

A: Let the function is y=a(bx) Given, it passes through (-1, 1/2) and (2, 32).

Q: 4. Solve for x log (35-x³) log (5-x) = 3

A: Given log35-x3log5-x = 3

Q: 8. Without solving the equation, state the restrictions on the variable x in the following: log(2x -…

A: .

Q: Find the solution for x: log (vz+1+1) log Vz- 40

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

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Q: 43. (log3 x)2 - 3log3 x = 10 noituloe adi aamizoq

A: According to our terms and conditions I have solved first question for next question repost

Q: 2. Solve for x. (Just type the value.) log (25x + 500) = 3 %3D

A: By simply take exponential on both sides we can solve the given problem

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: 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: (c) Solve for x given 1≤log, (x-6) ≤3.

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

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

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Q: Find a formula for the exponential function passing through the points (-3, -) and (1, 6). 27 y =

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Q: Solve for x: Log3(x-5)+Log3(x+3)=2

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Q: solve 2 log3 2x = 2 + log2( x - 4)

A: 2 log3 2x = 2 + log2 (x-4)

Q: Solve for x. log.x = log (r+ 8) – log2

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Q: Solve: loga (x - 7) +log, (x - 2) = loga(x - 4) + loga (X + 12)

A: We have to solve.

Q: Solve for the unknown. log3 y + 3 log3(y2) = 14

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Q: Solve for xx in terms of k. log3x+log3(x+6)=k x= Find x if k=7

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Q: Solve the equation for x. (log 6x) (log 61296x) = - 3

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Q: 3. Solve algebraically for x log, 64-

A: logx64=32To solve for x

Q: The equation log(x+3)+log(x-2)=log(7) solutions are x=-5,1 true or false?

A: We know that , log ( a • b ) = log ( a ) + log ( b )

Q: Solve for x   log(x5)=20

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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: Solve the equation and choose the exact solution. -3. 44z+10 - 8 = -51 43 - 10+log2 3 = x 4 O= log,…

A: Given equation: -3·44x+10-8=-51 To determine: The vlaue of x.

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

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Q: 1 The solution of the equation Log(-z + 2) = i2n is 4

A: (c) 1+i,1-i,-1-i,-1+i is correct. We have to solve the given equation, that is, Log14z4+2=i2π…

Q: Solve for x: log2 (2) = - 1 %3D

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Q: solve for P. 45 = 10 log ( P / 1x10-12) P = ?

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.