Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible. In [22(²-1)] √8-7 O In 2+ Inx+72lnx In 1-In 8. In 7-In 8-Inx O In 2 + Inx+24lnx-3 In 1-In 8-in 7-Inx O In 2+ In x + 3in (x-1)-(8-7x O In 2x+3 In (x-1-In 8-7x) lor common logarith

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: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A: We have the following properties of logarithmlogam-logan=logamnlogam+logan=logamnnlogam=logamnwhere…

Q: Simplify the following into a single logarithm: 2 log(6) + 2 log(x) 62 O log x2 () 2.6 O log 2x O…

A:

Q: If log, = 3 then 3D3 then O z=8 I = 27 O x = 125 =64 x = 216

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Q: Write the expression as a logarithm of a single quantity. + In(x + 5) – 3 In(1 + Vx) 2

A: Given expression is ln6+12lnx+5-3ln1+x We have to write given expression as a logarithm of a single…

Q: Fill in each box below with an integer or a reduced fraction. (a) log₂ 8 = 3 can be written in the…

A: To fill in each box with an integer or a reduced fraction. (a) log2 8=3 can be written in the form…

Q: 3 Expand the logarithmic expression: In- x 2-4

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Q: a. b. C. (30²)² Simplify: -Xb³ 6b Simplify 3 - logx² + log(xy) expressing it as a single logarithm…

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Q: b) log(x) + 2log(y) - 3log(z) + log 2

A: topic - logarithmic equations

Q: Let A = logm (2) and B logm (5). Expand the logarithm and write as a sum of multiples of A and B.…

A: Given query is to write the expression in terms of A and B.

Q: Write 5 ln x + 3 ln (x² + 4) – , In (x + 8) single logarithm. as a - -

A: The logarithmic expression is given by 5ln(x) + 3lnx2+4 - 12lnx+8

Q: Simplify the following into a single logarithm: 2 log(7) + 4log(z) 2.7 4x O log O log (7²x4) Olog…

A: Given 2log(7 )+ 4log(x)

Q: 4logsx + 3logs (2x-5) - 7logs(x-3)

A:

Q: Use the properties of logarithms to write the expressions in Exercis

A: Logarithmic functions and exponential functions are considered as the inverses of each other as one…

Q: Write each expression as a single logarithm.

A: Given : logx2-9-logx2+7x+12

Q: Simplify the following expression. Write as a single logarithm or monomial. In 3 + In 8 - In 12 In 3…

A: Given

Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. 1.f(t) = te-3t cos² 2t

A: We are only allowed to solve one question at a time. Please post the remaining questions separately.

Q: .Condense the logarithmic expres 3 log5 3x + 2log5 (x - 2)

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Q: 4logsx + 3logs (2x-5) - 7logs(x-3)

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Q: Simplify log(60)+log(15)−log(2)−log(2) as a single logarithm

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Q: Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a)…

A: We have the expression: log3(20x2)

Q: Write as the sum and/or difference of logarithms. Express powers as factors. Find logs if logs11 = a…

A: logcab=logca-logcb

Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…