3. Write the equation in its equivalent logarithmic form. 1 63 = 216 A) log, 216 = 3 B) log 6 3 = 216 C) log 216 6 = 3 D) log3 216 = 6

Q: Express the following equation in logarithmic form. 45 = 1024 The exponential equation expressed in…

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

A: (a) Given expression. ex=3

Q: 15) Use the properties of logarithms to rewrite each 2 a. In c. In 5y b. In Vr+2 d. In ¤(x +1)´

A: Explanation and solutions is given below....

Q: 2-Solve the following logarithmic equations. a) Log, 2 – log 4 b) 2 + 5(3*) =3(3*) x +7/6=0 -

A: We have to solve the given logarithmic equations to find the value of the variable x. For this, we…

Q: Question 8 Find the logarithm. lor, (3)-[

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Q: 13. Write as a single logarithm. 4 logx- log Vx + log? a. 12 15 logx b. 17 с. logx 12 logx d. logx…

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Q: 7. The expression 4 log x -- log y + 3 log z can be rewritten equivalently as (x*z' (3) log 2y (1)…

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Q: 1. What is the value of x in log. 27 - - 3? A. В. з C.9 D. 81

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: 4. Use the special properties of logarithms to solve the following equations. a. M = log„1121 b.…

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Q: 3 When 16 = 8 is rewritten in logarithmic form, the result is log, b = c. Find the value of a, band…

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Q: What values could replace the "?" in these equations to make them true? 1. log10 10, 000 =? 2. log1,…

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Q: 7. Condense the expression to the logarithm of a single quantity. 6log,, x – 4 log,(x +9) [A] 24 log…

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Q: 20) Find the exact value of the logarithm without using a calculator. log,64 =

A: The given expression is log464

Q: 2. Evaluate, using the laws of logarithms. 2 43 log4 64 x V64* 46 256 +log,

A:

Q: 14. Set up and solve an equation to evaluate log, ().

A: Given logg13=?we know thatlogabc=c logablogambh=hmlogab , logaa=1

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 (ii) log, (x+3) =1-log,(x-1) r-6 (i) 2" 8.

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Q: 8. Use the properties of logarithms to expand the following into a sum or difference of logarithms.…

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Q: 12.) Use the laws of logarithms to combine: 2 log x + 1 log(x² + 1)

A: We have to use the laws of logarithms for the given equation.…

Q: 1. Express as a single logarithms and if possible simplify. loga 75 + loga 2 ½ log n+ 3 log m

A: We can solve the two subparts as below.

Q: 4. Rewrite log(AB²) in terms of logA and logB, or state that this is not possible. log(AB?) = ,

A: We will solve the logarithm problem.

Q: TWO quantities M and N are defined via logarithms as log M = 2, log N = 5 EXPLAIN why N is greater…

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Q: 2. Solve the following logarithmic equation or FULLY explain why it is not possible: log(-8)

A: Logarithm of a number is defined as a quantity representing the power to which a fixed number (the…

Q: log 10 = 1 110 = 1 10' = 10 1010 = 1 110 = 10

A:

Q: 6. Write the equation in logarithmic form: e7x = 9

A: According  to Bartleby expert guidelines we can not solve more than one question. Please  repost…

Q: 6. Solve the logarithmic equations below: log3 (p – 2) + 9 = 12 b. - 3log4 (2p + 3) – 1 =- 4 а.

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Q: 12. Solve the following equation * 3 poin log, x + log, (x -9)= 2 O 12 О 3, 12 О з 8. O -8 O -2, 8 O…

A: We use the formula logam + logan = loga(mn) logab = c    →  b = ac

Q: 2-Solve the following logarithmic equations a) Log, 2 – log 4 x +7/6=0 b) 2 + 5(3*) =3(32*)

A: logx2-log4x+76=0log2logx-log4x+76=01logxlog2-log4x+76=012logx2log2-log4x+76=012logxlog22-log4x+76=01…

Q: Practice question 9

A: The given logarithmic expression is log a + log 1–2 log b.Simplify the given expression as follows,

Q: 15. Rewrite log,(1321): 16. Rewrite log (4.11) to base e = x as an equivalent exponential equation

A: Solution : We have to find out 15.Equivalent exponential equation of  log6(1321) = x 16. Rewrite…

Q: 13 Which of the following is equivalent to x - 3 = 2? A log, (x - 2) = 2 B log, (x + 3) = 2 C log,…

A: The given equation is: x-3=22

Q: 8) Solve the equation log, (x + 3) = log,(2x

A: We will solve for x.

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

A:

Q: 5) Show the proof that loga M" = r· loga M

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Q: 11. Write as a single logarithm: 1 log2 X +3 log2 Y - 3 ·log2 Z

A: To write: The expression 13log2X+3log2Y-52log2Z in single logarithm. Formula used: Logarithmic rule:…

Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log1121 b. 4…

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Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log₁11²1 b.…

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Q: Rewrite the following log equation in exponential form: 5.5a=log2.61(6/19)

A: 5.5a=log2.61619

Q: Solve for a: 1 = 1 log4 a 1 1 + + log, a log, a ?

A: Given,          1log2a+1log3a+1log4a=1

Q: 7. Solve each equation for y. [Leave final answers in a simplified exact form or an approximate…

A: Given, (a)  ln4y +5  = lny-1  (b) 5-3log4x-3 = -4 We have to solve the equations

Q: Use the definition (p. 75) and properties of logarithmic functions (Theorem 1, p. 77) to solve the…

A: We need to find value of x.

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

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Q: 4. Condense the log to a single log expression. a. 2 log y - 3 log x - 2 log 10 b. Ina+3 ln y

A: See this solution in below

Q: The value of 31 log, /4 is O 15.5 O 31 62.0 O 124.0 O 0.0

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Q: 5. Use the definition of logarithms to solve 2=90. O 0.15 O 1.65 O 6.49 O 0.59

A:

Q: Rewrite the expression as the logarithm of a single quantity. 18) 6 log, t- log b S 18) 19) 3 log x…

A: As per our guidelines we are supposed to answer only first question Kindly repost other as the next…

Q: 8. Solve. Give EXACT answers only- (a) e**1 = ! %3D (b) 3log2(x – 1) = 5 – log24

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Q: 12.) Use the laws of logarithms to combine: 1 2 log x log(x² + 1) - 2

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Q: 2. Use the properties of logarithms to condense the expressions as a single logarithm. 4. log a – 3…

A: We have to solve given logarithmic expression.