2, 8) (In (y - 49)-In(y+7)] + In (y + y)

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

A: Given, y=10x-10-x10x+10-x y10x+y10-x=10x-10-x now simplify in terms of y…

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: How are the two equations 102=100102=100nn and [][]log10(100)=2log10⁡(100)=2 related?

A: We need to show relation between given equation.

Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

Q: Express in terms of logarithms of x, y, z, or w.

A:

Q: Express In(1+r²) +In r- In sin r as a singel logarithm.

A: Use property of log :→n ln(m) = ln(mn)→ln(m) + ln(n) = ln(mn)→ln(m) - ln(n) = lnmn

Q: Express as a single logarithm. A) logbase5 6 + logbase5 8 - logbase5 12  B) 2 log 3 + 4 log 2  C)…

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Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

A:

Q: 3

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Q: Use properties of logarithms to expand the logarithmic expressi +2 In (x+2) X VX+2 In %3D (x+2)3

A: using property of logarithmic

Q: . Show that log(1) = 2nti, n = 0, ±1, ±2, ...

A:

Q: Give at least two examples of the first 3 logarithmic properties.  Property 1- Property 2-…

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Q: Write as a single logarithm: In(x – 1) +2 ln(3x + 1) + In (x² + 9) – 2 ln 3 – In æ 2 3 In 2 – - |

A:

Q: Express in terms of sums and differences of logarithms. 8 In 3xy 8 In 3 3x°y

A:

Q: Express log (x²/y°) + 4 log y - 6 log Vxy logarithm. as one

A: Given expression is,  logx2y3+4logy-6logxy. It is simplified as follows: logx2y3+4logy-6logxy Apply…

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

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Q: Express as a single logarithm   In x2 -2x-24/x-2-In X2 +2x-8/x+9 + In(X2 -12x+36),  x>0

A:

Q: Use the properties of logarithms to verify the equation. -In(24) - -(3 In(2) + In(3) -In(22. -In(24)…

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Q: Express as a single logarithm. (a) į In x- 2 In(x' + 1) (b) In(x – 3) + In(x + 3) – 2 In(x² – 9)

A: "Since you have posted multiple questions, we will answer the first question.  If you want the…

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log9 x…

A: Use the log property to simplify the left side of the equation log9 x+3 log3 x=14. Use property…

Q: Express as a single logarithm   In x2 -2x-24/x-2-In X2 +2x-8/x+9+ In(X2 -12x+36),  x>0

A:

Q: Express in terms of logarithms without exponents. logb(x3y9z) What is the equivalent expression?…

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Q: Suppose that a and y are real numbers such that log2 (x) = – 3 and log2 (y) 6. Calculate the…

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Q: Use logarithmic properties to write in simpler form. In xy In xy =

A:

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: 3. Express as a single logarithm: 3 log 2 + log x - log (4x) log(8x) A. log(4x) В. log (2) C. log…

A:

Q: Express the solution in terms of logarithmics

A: Here given Taking ln both side we get

Q: Use the laws of logarithms to expand each expression. (a) log10(x*y³z) 4 log (x) + 3 log(y) + log(-)…

A:

Q: Express in terms of logarithms of x, y, z, or w.

A: Known fact:log mn=nlog mlog mn=log m-log nlog mn=log m+log n

Q: -, State the transformations that are needed to turn y 4 log10(x – 4) into y = – 2 log10(x + 1).

A: Compare the both equation and take transformation and varify

Q: Express in terms of logarithms of x, y, z, or w.

A: We have to express in terms of logarithms of x, y, z or w: log3xyz We know the properties of…

Q: Express in terms of logarithms of x, y, z, or w.

A:

Q: 5log(8)-1 log(x)

A:

Q: when expressed as a single logarithm: ln(y + 2) - (2ln6 + ln x) becomes

A: We make the coefficient into an exponent

Q: Use the Laws of Logarithms to combine the expression.

A:

Q: Expand into several logarithms: In 25

A:

Q: 2. Rewrite as a single log (condense): 7 5, loga (xy®) +12lo9 x12 - 5log. (y) 16,,8 8

A: Answer and explanation is given below

Q: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

Q: Express log,(9AB) in terms of log ,4 and log, Bin simplest form.

A:

Q: Express as a single logarithm and, if possible, simplify. Inx-7[In (x- 4) + In (x + 4)]

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Q: Expand loge x in powers of (x- 1) and hence evaluate log, 1-1 correct to 4 decimal places.

A:

Q: Write In(x2 - 3x + 2) - In(x - 1) as a single logarithm. In(x + 2) In(x + 1) In(x + 3) In(x - 2)…

A: We can find the answer as given below

Q: Express in terms of logarithms of x, y, z, or w.

A: Given: log4z3

Q: Estimate using the change of base formula.

A: Consider the logarithmic expression log90.2 to evaluate the value of this, use the change of base…

Q: The union of two topo log ies is topo log y True O False O

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Q: what is the natural logarithm of 1/exy?

A:

Q: Use the Laws of Logarithms to combine the expression. 5 In(2) + 2 In(x) -- In(x + 7) 2

A: Using laws of logarithm to simplify given expression.