Solve the equation: 3(-4 + 8x) = 1/27. Round your answer to 2 decimal place. Be careful - if you use logarithms, be sure to go out several decimal places throughout your calculations for accuracy. Your Answer:

Q: Rewrite the equation y = 4.5(0.6)x in terms of base e. Express the answer in terms of a natural…

A: The given equation is The exponential form with natural base e is  Compare the above equations…

Q: Convert to a logarithmic equation.

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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: Biologists stocked a lake with 700 fish and estimated the carrying capacity to be 6300. The number…

A: Dear student you are not provide what are a ,c ,b stand for . We are calculate the value in terms of…

Q: Solve for x. log, 1 log 36*= Simplify your answer as much as possible.

A: If logab  = x than ax = b

Q: Solve the equation accurate to three decimal places.

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Q: Solve for x by converting the logarithm equation log1\7 (x)=2 to exponential form.

A: We have the formula, loga(b)=m, then b=am

Q: For Exercise, write the equation in exponential form. -4 log 10,000

A: Given  To find the equation in exponential form, first remove the log by taking both side e.

Q: write the exponential equation as a logarithmicequation, or vice versa. ln 4.15 = 1.4231 . . .

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Q: Solve for f using natural logarithms. 6P = Pe041 Round your answer 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: 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 for x by converting the logarithmic equation to exponential form. log (x) = 4 %3D

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

A: We need to solve for x.

Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity to be 7700. The number…

A: Given: Initially, stocked fish=500……1Carrying capacity of lake=7700……2In first year, number of…

Q: Express the equation in logarithmic form. (a) ex = 6 (b) e2 = y

A:

Q: Solve for æ by converting the logarithmic equation to exponential form. logs (æ)

A: log8 (x) = 1/2

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 the following equations. log,(x-1)+log,(x-3)= log.(2x-5)

A: We have to find the solution of logarithmic equation.  The solution is following

Q: Express the equation in logarithmic form. (a) 4-3/2 = 0.125 (b) 83 = 512

A: Given:  a) 4-32=0.125 b) 83=512 To find: Express the equations in logarithmic form

Q: For Exercise, solve for the indicated variable. L = 10 log| |for I (used in medicine)

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Q: Express the equation in exponential form. (a)    log9(3) = 1/2

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

A: Y=110x-10-x

Q: Use natural logarithms to solve the equation. Round to the nearest thousandth. 5e2x+11=30

A: Solve the eqution

Q: Solve the exponential equation 9e5x = 1269. Where necessary, express the solution set in terms of…

A: 9e5x=1269 Concept ln e=1

Q: Solve the equation accurate to three decimal places. log10(t − 3) = 2.6

A:

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

A:

Q: Solve the exponential equation 9e5x = 1269. Where necessary, express the solution set in terms of…

A: Given exponential equation 9e5x=1269

Q: Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. 3 log ?Y - 4

A:

Q: Write the equation in logarithmic form and solve for x. (Round your answer to three decimal places.)…

A: This equation can be solved by taking log's on both sides. The detailed answer is presented as the…

Q: Rewrite the equation y = 1000(7.3)x in terms of base e.Express the answer in terms of a natural…

A: Definition used -             Exponential growth equation -                            P(x)= P0ekx…

Q: Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. log 8x3=4

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Q: Convert to a logarithmic equation: z =²

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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 log5 x2 = 4.1 accurate to three decimal places.

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

Q: Solve the exponential formula for the variable  I=V/R (1-e^-rt/L) for t by converting to…

A:

Q: Rewrite the equation y = 4.5(0.6)x in terms of base e.Express the answer in terms of a natural…

A: Our Aim is to re-write the equation y=4.5(0.6)x-(i) in terms of base e and to express the answer in…

Q: Complete the table by finding the appropriate logarithmic or exponential form of the equation, as in

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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: Use logarithms to solve. e2x – ex – 90 = 0 %3D -

A: Solve: e2x - ex -90=0

Q: solve the equation analytically 1)  − log(x) =5.4

A:

Q: Rewrite the equation in logarithmic - 2 т log a B = C with A = B = C = ||

A: If ac=c then we write it logab=c

Q: Solve for x by converting the logarithmic equation to exponential form.

A: Solution: The objective is to find the value of x

Q: Convert to a logarithm to solve.

A: The given equation is: 8x=4 Convert to a logarithm to solve for x.

Q: Solve the equation:log e2e leaving your answer in terms of e. elnx - e,

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: Rewrite the equation y = 1000(7.3)x in terms of base e. Express the answer in terms of a natural…

A: Consider the provided equation, y=10007.3x Express the answer in terms of a natural logarithm in…