Solve the logarithmic equation: log , (10 – 2x) – log , (x + 3) = 1.

Q: Solve the equation for x. log2(log2(x)) = 3

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Q: Solve the Logarithmic Equation 5 log, x = 4 by following the steps below.

A: Give logarithmic equation : 5 log2x=4

Q: Convert to a logarithmic equation.

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Q: Find the domain and solve log, 81 =x

A: Definition of the Domain of a Function For a function f defined by an expression with variable x,…

Q: Use common logarithms to solve the equation for x in terms of y.

A: Consider the given function as y=110x+10-x

Q: Igebraically solve log, (x + 1) + log, (x- 5) = 1

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Q: Solve the equation accurate to three decimal places.

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Q: Solve the equation accurate to three decimal places. log2(x − 1) = 5

A: According to the question, we have to find the accurate value to three decimal places of log2x-1=5.…

Q: For Exercise, solve the equation. | log; Vx – 8 + log; Vĩ = 1

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Q: Express the equation in logarithmic form.

A: For the exponential equation q=pz , its logarithmic equation is written as logpq=z . On comparing…

Q: Express the equation in logarithmic form. (a) e+-0.4 (b) 0.3x-t

A: To express the given equation in logarithmic form: a) ex+3 = 0.4 b) e0.3x=t

Q: Solve the logarithmic equation for x. log2(x2 - x - 2) = 2

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Q: Solve the logarithmic equation: log , (8x + 9) – log, (x – 4) = 2.

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Q: Use common logarithms to solve for x in terms of y

A: Let take 10x=t then 10-x=t-1. Now, replace 10x with t in y=10x+10-x2 and solve it.…

Q: Find the domain and solve: log,81 =x

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Q: Solve: log, Vx + 5 = 4

A: Given          log2x+5=4

Q: Solve the logarithmic equation for x. log,(9 – x) = 2 - log,(-x) 3D2 6

A: We need to solve for x.

Q: Combine into a single logarithm.

A: 32log2x-y-2log2x2+y2

Q: Solve. log, x = 3 - log,(x - 2)

A: We know that, from the property of logarithm logam+logan=logamn           ⋯⋯1logab=c⇒ac=b        ⋯⋯2

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

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Q: Solve the equation for x log3x+log3(x+8)=2

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Q: log1 x = -4, X = ?

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Q: Solve for x by converting the logarithmic equation to exponential form. log (x) = 5 Enter the exact…

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Q: Solve the equation for x. a).  log3 (3x-2) = 2                                b).  42x-1 = 8x+3

A: a)given equation is log3(3x-2)=2we know that logn(x)=r can be written as nr=x32=(3x-2)9=3x-2∴x=113

Q: Solve for the exact value of x. log2 (7x) – 2 log, (9) = 2 -

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Q: Solve for a positive value of x. log,(x) = 2

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Q: Solve the log equation log2(x + 3) + log,(x - 3) = 4

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Q: solve for x , logx(81)=4

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Q: Solve for t using natural logarithms. В - Ребrt Enter the exact answer.

A: Given equation is Solve the given equation for the variable ‘t’

Q: Solve the equation by rewriting the exponential expression using the indicated logarithm. 60e-0.13t…

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Q: Solve: log, (x- 3)+ log, (r 4)= log3 (2)

A: According to the addition property of logarithms, we have logax+logay=logaxy According to the…

Q: Solve the logarithmic equation. log, (6x + 4) log, (2a – 12) O x = 4 O No Solution O x = 0 O x = -4

A: log4(6x+4)= log4(2x-12) log4(6x+4)-log4(2x-12)=0 (6x+4)(2x-12)=40=1 (6x+4)=(2x-12) 6x-2x=-4-12…

Q: Solve for x: log, (x? +8x - 20)-log, (x-2)=2

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Q: Solve for t using natural logarithms. 6P = Pe0.3t

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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 y in terms of r. log, y = log, r – log, 10 + log, 6

A: Given, logby = logbx - logb10 + logb6 Solving the above equation using the properties of logarithm

Q: Solve by using logarithm X+3 2-X 2. 13D

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Q: Solve the equation log6(x + 1) = 2 accurate to three decimal places.

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Q: Express the equation in logarithmic form. (a) ex = 7 (b) e4 = y

A: Take log on both sides of equation, .

Q: Solve the equation: LOG(x + 5) = LOG(4x - 4)

A: Given,  log(x+5)=log(4x-4)

Q: Solve the equation log5 x2 = 4.1 accurate to three decimal places.

A: Solve the equation log5 x2 = 4.1 accurate to three decimal places.

Q: Q3 Solve for x log, (x+4)- log, (x-2) log, (4x) a. b. 5-2 33r+2 By using Natural Logarithm (In).

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Q: Solve log, (3x – 7) = 3. - The solution is x =

A: Use the properties of lograthim and solve for x.

Q: Solve the logarithmic equation: log, (x + 1) + log, (x – 1) = 2. Round to the nearest tenth if…

A: Given logarithmic equation is log5x+1+log5x-1=2

Q: Solve the equation for æ: log, + log20(a - 1) = 1. If a solution doesnt work, enter DNE . Make sure…

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Q: Solve the equation without using a calculator .

A: Given:          logx2=log x2 Apply log rule: log ab=b log a       2 log10x=log10 x2 Rewrite the…

Q: Solve the logarithmic equation for x. log,(x + 3) - log,(x-3) - 2

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Q: Express the equation in exponential form. (금) -1 (a) log (b) log2(8) = 3 J

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