Express the equation in logarithmic form: (a) 4 = 16 is eqUivalent to log, A = B. A = and (b) 10 2 0.01 is equivalent to log,0 C = D. land

Q: Convert to a logarithmic equation.

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Q: Express the equation in logarithmic form. (a)    32x = 10   (b)    10−2x = 0.1

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Q: Express the equation in logarithmic form. (a)    32x = 10   b)   10−2x = 0.1

A: To express the given equations in logarithmic form.

Q: Express the equation in exponential form. (a) log3(27) = 3 %3D (b) log3(1) = 0

A: we have to express the given logarithmic equation in exponential form. (a) log327=3(b) log31=0

Q: Rewrite y = 96(0.38)x in terms of base e. Express the answer in terms of a natural logarithm and…

A: Given Y=96 0.38xWe know thatelnea=a∴ 0.38x=elne(0.38)x

Q: Solve the equation accurate to three decimal places.

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Q: Express the equation in logarithmic form. (a) 24 = 16 %3D (b) 10-3 = 0.001

A: a)24=16taking log bothside with base 2log2(24)=log2164log22=log2(16)       here…

Q: Express the equation in logarithmic form.

A: (a) Consider the equation 4x=70 To express this equation in logarithmic form, use below properties…

Q: Rewrite the equation y = 100(4.6)x in terms of base e.Express the answer in terms of a natural…

A: y = 100(4.6)x Important point: A = eln(A) ∵  Taking logarithm both the sides   ln A = ln eln(A)   ln…

Q: Rewrite as a logarithmic equation. Ey = 5

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Q: Express the equation in logarithmic form. (a) 9-1 = (b) 3-2 =

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Q: Express the equation in logarithmic form: (a) e = 4 is equivalent to In A = B. Then %3D and (b) e…

A: Given equation :

Q: use logarithms to solve the equation for t  1/5 e^-4t =0.9

A:

Q: Rewrite the equation y = 100(4.6)x in terms of base e. Express the answer in terms of a natural…

A: y = 100(4.6)x     Let 4.6 = ez    => ez = 4.6     => ln ez = ln 4.6    => z*ln e = ln 4.6…

Q: Rewrite the equation y = 73(2.6)x in terms of base e. Express the answer in terms of a natural…

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

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Q: Express the equation in logarithmic form. (a) 5* = 70 %3D (b) 57 w O Show My Work (Optional)

A: Given: (a)  5x = 70 (b)  57 = w

Q: Express the equation in logarithmic form: (a) 4° = 64 is equivalent to log, A = B. A = %3| and В (b)…

A: By natural logarithmic property ax=b  ⇒loga(b)=x

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

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Q: Express the equation in logarithmic form.

A: We know that if an=x then logax=n. (a). Given equation is 62=36. On comparing, we get  a=6, n=2 and…

Q: Express the equation in logarithmic form. (a) 4-1/2 = 0.5 (b) 64 = 1296 %3D

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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: Use the laws of logarithms to combine the expression: 2 (log, x + 2 log, y – 3 log, z)

A: To use the laws of logarithms to combine the expression

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: 3. Solve for the unknown in each logarithmic equation. a. log, 64 = n b. log, 16 %3D -2

A: Topic- Logarithmic Equation

Q: Rewrite y = 96(0.38)* in terms of base e. Express the answer in terms of a natural logarithm and…

A: Solution:Given    y=96(0.38)x  To express in natural logarithm.

Q: Convert to a logarithmic equation. e -3 = t

A: Given : e-3 = t

Q: Express the equation in logarithmic form: (a) ex = 5 is equivalent to In A = B. Then A = and B = 3…

A: To express the equation in logarithmic form:a ex=5 is equivalent to ln A=B. Then A=?and B=?b e3=x is…

Q: Express the equation in logarithmic form: (a) e" = 3 is equivalent to In A = B. Then A = and В - 4 =…

A:

Q: log (5x+15) =3 b. 2 In(3-x)-4 a. log, x - log, (x+6)=1 d. log, (x+2)+ log, (x-1)=2 с.

A: The objective is to solve each logarithmic equation by converting it into exponential functions and…

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: 31. log, 16 = 4

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

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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: e7x = 3x − 4

A:

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

A: Take log on both sides of equation, .

Q: Express the equation in logarithmic form: (a) 44 256 is equivalent to log, A = B. A and B = (b) 10–2…

A: a)Given, 44=256 Apply logarithmic base 4 on both side of the given equation we get, log444=log4256…

Q: et – e-x ex + e¬x 2 |I

A: To find the solution of the below equation. ex-e-xex+e-x=12

Q: Express the equation in logarithmic form.

A: We know that logab=b logalogab=loga-logblog10=1   Consider the given equation (A) 32x=10 Taking log…

Q: Express the equation in logarithmic form.

A: a) ex+1=0.5b) e0.5x=t

Q: Express the equation in logarithmic form: (a) 4* = 256 is equivalent to log4 A = B. %3D A = %3D and…

A:

Q: Rewrite e^−2.2=h as an equivalent logarithmic equation.

A: Given: h=e-2.2   To Find: write in logarithm form.

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: Convert the exponential equation 7 = x into a logarithmic equation in the form log, r y

A: Given exponential function :79=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 in logarithmic form. ek = h

A: Answer and explanation is given below

Q: logx?=(logx)?

A: Given query is to find value of x solving logarithmic equation.

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

A:

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…