Simplify the following expressions. Write each expression as a single term using a single natural logarithm and without using any exponents. (a) In xº + In x-1 (b) In x8 In x-7 (c) In (x2 - 36) - In (x + 6) (d) Inx-1+ Inx-7

Q: Simplify the following into a single logarithm:2log(5)−1log(x)

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Q: Write the expression as a logarithm of a single quantity.…

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Q: Simplify the expressions below. - In 10 (b) log - {x² - 9) (c) log 285x-3 (a) -

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Q: Condense the following logarithmic expression into a single log using logarithm properties.…

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Q: Use the properties of logarithms to expand the logarithmic expression.

A: Given logarithmic expression is: lnxx2+5 We have to expand the above expression.

Q: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

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Q: for which value of x is the expression log7(2x-3) undefined

A: The logarithm function log(x) is defined only for x>0. So the  logarithm of a negative number  is…

Q: Use the laws of logarithms to expand the expression below: 3x2 In (x+1)10

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Q: Use the properties of logarithms to expand the given expression as much as possible

A: Use division property of logarithm

Q: Write the expression as the logarithm of a single quantity. 1 3 (6 In(x + 5) + In(x) – In(x² – 6))

A: By using logarithm property, we calculate the given expression.

Q: Simplify the following expression. Write as a single logarithm or monomial. Inx- In x' + Inx° 7. . 9

A: Given that We have to simplified lnx-lnx7+lnx9 We know that lnxm=mlnx so in our case  lnx7=7lnx…

Q: 2 In x - In y + 1 5

A: we know that logarithmic properties :  1 ). ln ( a • b ) =ln ( a ) + ln ( b )  2 )  ln ( a n ) = n…

Q: How is log 763 written in terms of natural logarithms using the change-of-base theorem? The formula…

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

A: We have to write the given expression as a logarithm of a single quantity   The given expression…

Q: Use the change-of-base formula to rewrite the expression log; 2 in terms of the natural logarithm In…

A: I have appended the formula used in the solution part.

Q: Condense the expression to the logarithm of a single quantity. [3 In(x + 5) + In(x) – In(x3 - 1)] 2

A: The given expression,        123 lnx+5+lnx-lnx3-1

Q: Use the properties of logarithms to expand the logarithmic expression.

A: Given : xlnx−4

Q: Simplify by writing as a single logarithm: Show all steps clearly including use of 'logʻ rules.…

A: Given, log(2x²+7x+6)-log(x²-4)

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

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Q: Simplify the following expressions. Write each expression as a single term using a single natural…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: Simplify the following expression. Write as a single logarithm or monomial. Inx- In x2 + In x Inx-…

A: Simplify the  expression

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

A: Consider the expression  15lnx2+9-15lnx+9

Q: Write the expression as the logarithm of a single quantity. In(4) + - In(x + 4) – 3 In(1 + Vx)

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

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Q: Condense the expression to the logarithm of a single quantity. [9 In(x + 4) + In(x) – In(xº – 8)]

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Q: Write the expression as a single logarithm with coefficient 1. log(x – 5) + 3 log(2x + 1) – 2 log(x)

A: properties of logarithms are alogcb=logcba logca+logcb=logcab logca-logcb=logcab

Q: Write this expression as a single simplified logarithm: log4(x2 - 1) - 5 log4(x + 1)

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Q: Condense the expression to the logarithm of a single quantity In x - [In(x 1) In(x - 1)1

A: The given logarithmic expression is,

Q: Use the properties of logarithms to expand the logarithmic expression.

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Q: Change the logarithmic statement to an equivalent statement involving an exponent. log2 6 = x

A: The exponent of a number says how many times to use the number in a multiplication and the logarithm…

Q: Condense the expression to the logarithm of a single quantity. [3 In(x + 5) + In(x) – In(x3 - 8)]

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Q: Write the following as the sum and/or difference of logarithms, with no products or quotients.…

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Q: Expand the following logarithmic expression as much as possible: (x + 3)*(x² – 4) V5 – x - In

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Q: Write the following expression as a logarithm of a single quantity. 6lnx – 10ln(x² +3) a. In(6x –…

A: Use log property

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

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Q: Use the properties of logarithms to expand the expression: ln((x)/(x^(2)-9))

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Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: We have to Answer only Question (2) as stated. We know that,

Q: Write the expression as a logarithm of a single quantity.…

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Q: [4 In(x + 8) + In(x) – In(x* - 9)]

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Q: Expand the logarithimic expression.

A: Given: y=lnx2-1x2+1 We know that lnmn=nlnm…

Q: convert the exponetial in logaritham form. 4v=a

A: logarithmic form will be  log4a = v

Q: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

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Q: Simplify the following into a single logarithm:2log(8) + 2log(x)

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Q: Condense the logarithmic expression. 2 In 5 + 2 In x – In y=||

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Q: Use logarithmic properties to expand the expression as much as possible:  log6(3√x / 36y4)

A: Use logarithmic properties to expand the expression as much as possible:  log6(3√x / 36y4) .

Q: 3 log2(x Vx + 4)

A: we have given that the functionlog2xx+43

Q: What is the base of the logarithm in the expression log(x+7)−5

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Q: Change the logarithmic statement to an equivalent statement involving an exponent. log3 2 = x

A: log32=x

Q: How to write the following in exponential form: log(x^2-5x+14)=2x+4

A: Given data: logx2-5x+14=2x+4

Q: Simplify. Enter the result as a single logarithm with a coefficient of 1. log; (2) – log; (5a®)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.