Use the power rule to expand the logarithmic expression: log(x + 4)2.

Q: Use the product rule to expand each logarithmic expression:a. log4(7 . 5)  b. log(10x).

A: According to product rule of logarithmlog(ab) = log a + log b

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: Use the quotient rule to expand the logarithmic expression: ln (e5/11).

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Q: solve for x (use log where is necessary ) 4sqrt(x)=8

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Q: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log8 x

A: Given expression is By using base change formula, we have Therefore,

Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

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Q: Use the defination of the logarithmic function to find x.

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Q: Use the change of base formula to express log, 8 using In, the natural logarithm. Provide your…

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

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Q: Use the Product Rule of Logarithms to write the completely expanded expression equivalent to…

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Q: Use the product rule to expand the logarithmic expression: log (10x)

A: Given: log (10 x)   To expand: log (10 x) using product rule.

Q: If f1x2 = loga x, show that - f1x2 = log1>a x.

A: We have ;  If f(x)=log(ax); show that -f(x)=log1ax

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: Expand using the properties of logarithms. 5x 3y log 6z

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

A: Given expression lnx4+2 lnx4+2=lnx4+212 Use the power rule of logarithm, logcAb=blogcA…

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: Use the definition of the logarithmic function to find x. log-() = x

A: This question (question 3) is based on the concept of logarithm and its properties. log7 (1/49)=x If…

Q: Use the change-of-base theorem to find the logarithm. log 37

A: we know that logab=logbloga

Q: Find the domain and solve: log,2,/2 -x

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Q: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: Use the laws of logarithms to expand and simplify the expression. In Vx (1+x)5,

A: We have to express the expression

Q: The correct expresssion for log is.. . x+8

A: Given the expression is log x4x+8 To simplify the given expression:-

Q: Use the logarithm identities to obtain the missing quantity. 2 log,(p) – 4 log,9) – 3 log,(r) = log,

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Q: Use logarithmic properties to expand the expression as much as possible:  log5(√x/25y3).

A: The given expression is log5x25y3

Q: Use the power rule to expand the logarithmic expression: log5 74

A: Given that log5 74 We need to expand the logarithmic expression using power rule.

Q: Use the defination of the logarithmic function to find x.

A: Part (a): Given, log7149=x

Q: Find x using logarithmic rules. 2.6x = 4x+1

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

A: Given: Let y=2ln x-lnx+1-lnx-1 To Find: To write the given expression as a logarithm of a single…

Q: What is the domain of ƒ1x2= logb x2? What is the range of ƒ1x2= logb x2?

A: Given: fx=logbx2 we know that domain of logx is x greater than zero similarly, domain of given…

Q: Use the quotient rule to expand the logarithmic expression: log8(23/x)

A: Given : log823x

Q: Use the power rule to expand the logarithmic expression: log (4x)5.

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

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Q: = log,25 -x=

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Q: Write the expression as a single logarithm with a coefficient of 1. In x - (9 In y + In z)

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Q: Use the One-to-One property to solve for x: log, (x + 2x) = log, (3x + 2).

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Q: Use the change-of-base formula to find the approximate value. log4 x3 + log2 √x = 8

A: The logarithmic equation is: log4 x3 + log2 √x = 8 We have to solve this equation. We have, log4…

Q: Use the quotient rule to expand the logarithmic expression: ln (e3/7)

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Q: Use the power rule to expand the logarithmic expression: ln √x

A: Given: lnx

Q: Use the power rule to expand the logarithmic expression: ln 3√x

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Q: Use the Laws of Logarithms to expand the expression. 5. 3x log,

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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: Use the Laws of Logarithms to expand the expression. log, (xy)?

A: Given : log7xy2

Q: Use the Change of Base Formula to evaluate log12 27.

A: Given: y=log1227 We know that logab=log10blog10a…

Q: Simplify. Enter the result as a single logarithm with a coefficient of 1. log, (92) + log, (6z?)

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

A: log32=x

Q: Expand the logarithimic expression.

A: lnx4+123x+16x-3

Q: Use the change of base formula logą x = In x to show that In a loga xp x In a d -logą x dx xp In a -…

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

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Q: Use the product rule to expand the logarithmic expression: log6 (7 . 11)

A: we have to use the product rule of logarithm to expand the logarithmic expression. log6 (7 . 11)