Solve for x. log, (x+7)=3– log, (x+ 5) If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". x = No 0,0,... solution ?

Q: Assume that for some base a, logąx = 0.3000, logay = 2.8642, and logąz = 1.7642. Find %3D %3D loga…

A: log (mn)= log(m)+log(n)logmn=log(m)-log(n)logam=m log (a)

Q: Solve for all values of x log, (x + 9x) = 2 %3D

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Q: By using u=ln(3x) and dv=6x dx, find ∫ 6x ln(3x) dx. Be sure to include the argument of the…

A: Consider the integral

Q: Solve for x in terms of k. log5 x + log, (x + 5) = k. X = Find x if k = 5. -(5-5sqrt(501))/(2)

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Q: log,,3 + log, (4x + 1) = log,o (x +1) +1

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Q: Find the largest value of x that satisfies: log, (z?) - log,(т+ 4) 3D 6 || | x = You may enter the…

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

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Q: Solve the following: 1 (1) 2*-6 8 (ii) log,(x+3)=1- log,(x-1) =-

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Q: Solve the following: 1 (ii) log, (x+3) =1-log,(x-1) r-6 (i) 2" 8.

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Q: The solution of the equation Log(z² – 1) = in is| 1,–1. О V2i, – V2i. V2, - V2. O None of them O…

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Q: a2// A Solve for x Logox + Log1ox = 30 B- E Recognize if the functions are even or odd:

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Q: 6. If 16 and log,(x – y) = 2, calculate the values of x and y algebraically. 1/2

A: Given,12x+y=16and log8x-y=2

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: 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: 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: 11) Given that log, 6= m and log, 5 =n, show that log, 10 = mn+m-1 %3D 12) Solve for x in the…

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Q: Solve for x. log, (x-5)=1- log, (x-2) If there is more than one solution, separate them with commas.…

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Q: (b).Solve for x: if log, x+3 log, 3=4 27**2 -6x3*3 3" x9**2 3a+3 (c). Show that %3D

A: Solution is below with full explanation.

Q: Solve for æ in terms of k. log, x + log; (x + 10) = k. Find æ if k = 3.

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Q: Solve for x in terms of k. log; a – log3 (x + 9) = log3 k. %3D - x = 1 Find æ if k = 3

A: Use property of logarithms to solve

Q: Show that loga(M/N) = loga M - loga N, where a, M, and N are positive real numbers and a ≠ 1.

A: Here given equation loga(M/N) = loga M - loga N

Q: What is the value of b so that (x) = log,(x) passes through the point (64, 3)? B -8 D {-4,4}

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Q: 2. Express the indicated logarithm in terms of a, b and c with the assumptions that log 2 = a, log 3…

A: To express the indicates logarithms in terms of a,b and c.

Q: 5. If log, x = 0.3 and loga Y = 1.24, then the value of log, x²y? = %3D

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Q: 4. Find all the values of z for which each equation holds. (a) Log(z - 1) = -i.

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Q: log, (x + 1) = 2 + log, (3x – 2)

A: We have to solve the equation: log4x+1=2+log43x-2 We know the properties of logarithm,…

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

A: If loga x&gt; loga y, then x&gt;y for a&gt;1 and x&lt;y for 0&lt;a&lt;1 . Usually log 10 x is…

Q: Given the functions f(x) = log₂ (2x) and g(x) = 2x - 3, which of the following statements is true?…

A: Here, the given functions are f(x)=log2(2x) =ln (2x)ln 2(used change of base)&amp; g(x)=2x-3 Here,…

Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: (a) Solve the following: 1 (i) 2-6 8. (ii) log, (x+3) =1– log,(x–1)

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Q: Given that x, y, z >1 and w be a positive number such that log, w = 24, log, w = 40 and logrvz W =…

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Q: log, x+ 2) <0

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Q: 9 log, x = 2 4

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Q: Find the value/s of x in the following equations/inequalities. 1. log3 (x+ 4) = log3(2x – 4) 2.…

A: We can answer question no 3 and 4 as below

Q: Show that loga ( 1/N) = - loga N, where a and N are positive real numbers and a ≠ 1.

A: To Show: loga1N=-logaN, where a and N are positive real number and a≠1. Concept: i.…

Q: log,(- x² + 15x) = 2 %3D

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Q: 4. Solve for x : log, (x – 3x – 88) –log, (x–11) =5 Ans 4 x = %3D

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Q: Find x,where l

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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: 2. Given p = 2' and q = 2', express log, p'q in r and t terms. 64

A: Given

Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

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Q: Solve for x. log, (x- 3) =1– log, (x- 6) If there is more than one solution, separate them with…

A: Using the properties of logarithmic functions, it can be written that logab+logac=logab×c. If…

Q: log, = 3 log, 2– log. (x- 2z) 2 express x in terms of z.

A: Given, logzxz2=3logz2-logzx-2z We have to express x in terms of z.

Q: Solve for x in terms of k. log, a + log,(x + 5) = k. x = Find x if k = 10.

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Q: b) Given that log, (y-1)+log,|| |= z and log, (y+1)+log, x = z-1, Show that y? =1+8² and find the…

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Q: Solve for x in terms of k. log4x−log4(x+6)=log4k A) x= B)Find x if k=1/8

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Q: 16.Solve for x: log, (2x+ 4) – log, (x-7) - 3 Find the equation with following roos : 17. a) – 2±5/2

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Q: The solution of log, (7+ x) = 3 log, 4 is O x = -57 O 1 = 71 x = 57 O T = -3 O 1 = 12

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Q: 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of and b

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Q: A) Given that x= log, 5 and y=log, 2 log, 60 in terms of x and y. , rewrite

A: A) Given that x=log35 and y=log32   To Calculate: log360 in terms of x and y.   Note: As multiple…