Solve for x in terms of b . Report your answer using set notation. 글0go(x3) + 극10g( x2 - 2x + 1) = 2 - log,( x2 3

Q: Express as a single logarithm. 5log,m- log,n

A: The rules one have to use in this question are logam-logan=logamnalogbm=logbma

Q: Find x if  2log5 + (1/2) log9-log3=logx

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Q: between which two consecutive integers foes log2 75 lie

A: We have to find two consecutive integers where  log2 75 lies between them . Since ,

Q: solve for x:- log5 52x = 8

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Q: Solve for æ : log, x = 4 4

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Q: x²z3 log (x+ 1)4

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Q: Solve for all values of x. log, (3x² – 3) – log, (2æ + 5) = 0 -

A: See attached file for a detailed solution.

Q: Express as a single logarithm. 3log6x + 5log,(x - 6)

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Q: Dz10-4V- + log, (2a) 1+3

A: Is the action of computing a derivative. The derivative of a function y = f(x) of a variable x is a…

Q: Express as a product. 9 log 10y - 9 log 10y

A: The given expression is  log10y-9

Q: Solve 3log5 13x + 12 - 2 log5 12x - 12 - log5 x

A: To simplify: 3log5(13x)+12-2log5(12x)-12-log5(x) Solution: 3log5(13x)+12-2log5(12x)-12-log5(x) On…

Q: solve the Fo llo wing 3) log,el- 2 logs 3 ↑) logiz 12- 2 log 2 2 5) .lo9221 - logz 7

A: This question is based on Logarithmic properties.

Q: If f1x2 = loga x, show that - f1x2 = log1>a x.

A: We have ;  If f(x)=log(ax); show that -f(x)=log1ax

Q: Solve for x: logz - 3 125

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Q: Solve for x: log, (9) = 2 %3D

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Q: Express as a logarithm of a single number/expression A to C . a. logx20+logx2 b.3log3x-log3y…

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Q: Solve for x: (log4(log3(log, x))) = 0

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Q: Solve for x log x = %3D

A: log x=52                logab=x                then, b=ax                log x=52…

Q: solve, g(x)=-3(1/5)x + 2 where g(x)= 0(using log may be)

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Q: Find the domain and solve: log,2,/2 -x

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Q: Solve for x: log, (1024) = 5 Add Work

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Q: Solve 6 - log, (3x - 2) = 4 for X %3D

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Q: Solve for 2: (You must show all of your work.) log, (4 – z)+ log,(x + 2) = log, (3 – 2x) -

A: We know loga(uv) = logau + logav logax=logay ⇒ x=y

Q: Solve for x: (log(x)2= log(x)+15

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Q: Express in terms of sums and differences of logarithms

A: Recall the following facts.

Q: = log,25 -x=

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Q: Solve for æ without using a calculator. 31. log, æ = 8 32. log2 x 10

A: 31. Given that log2x=8. Solve for x. log2x=8x=28          logpq=r, then…

Q: If log[4-5log,2 (X+3)]=0, find x 132

A: Given:          log4-5log32x+3=0 Let:          log4-5log32x+3=0   ........1 Simplify:…

Q: Solve for x log (30x+20)- log(x)=2

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Q: Solve for x. log2(2x2 + 4) = 5

A: Explanation of the solution is given below...

Q: Solve for x log4 (x+12)=3

A: We have to solve for x   We have log4x+12=3 logba=c  ⇒  bc=a

Q: Solve for x log, (2x + 10) = 4

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Q: solve for x log4(3x-2)=2

A: Given logarithm equation is shown below.

Q: Solve for x log64 x = 2

A: Explanation of the answer is as follows

Q: Solve for x log, (9x +30x + 25) 8

A: Given  log29x2+30x+25=8 First convert this expression to exponential form The question is of the…

Q: Solve for x. log2(x) = 6   x=

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Q: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

Q: Solve for x. logx 8 = 3

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Q: Solve for x. -8+ log, (x+4)=-6

A: Given -8+log5(x+4)=-6 Or, log5(x+4)=8-6=2 Or, (x+4)=52  [since loga(x)=m, then x=am] Or, x+4=25 Or,…

Q: Solve for x   log(x5)=20

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Q: Express log,(9AB) in terms of log ,4 and log, Bin simplest form.

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Q: Solve for x log, (49x) = 4

A: Logarithmic function.

Q: Express as a single logarithm. (a) 4 In(x – 6) – In(x² – 10x + 24) + 2 In(x – 4)

A: The given logarithmic expression is: 4 lnx-6-lnx2-10x+24+2 ln x-4  Since the  logarithmic property…

Q: Express as a single logarithm and, if possible, simplify. Inx-7[In (x- 4) + In (x + 4)]

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Q: Solve for x : log, x = 4

A: Here we use basic logarithmic properties to solve the given equation

Q: Express th equation in exponential form.

A: To express the given equations in exponential form: a)log5(1125)=-3,b)log84=23 Solution: We know,…

Q: Solve the following equation 2log (2x)-log(x²+75).

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Q: Solve for x: log3(x^7)=−5 x=

A: We have to find

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: solve for x log x=-3

A: