Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator. log4(12x+8y)

Q: Rewrite the expression as a single logarithm. 13) 3 - log5 (4x + 2) + 5 · log5 (6x + 1)

A: Given:   To determine: The expression as a single logarithm

Q: If log10(2x - 4) = 1+ log10 4, then 'x' is equal to Answer:

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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 following expression as much as possible. Simplify…

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Q: Use the Laws of Logarithms to expand the expression. log5(AB6)

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Q: Use the Laws of Logarithms to combine the expression. 5 log(x) – log(x² + 1) + 4 log(x – 1)

A: Given expression   5 logx-13log1+x2+4 logx-1

Q: Combine the expression by writing it as a logarithm of a single expression. 3log(x + 3) – 6 log(x² +…

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Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where…

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Q: Use the properties of logarithms to condense the following expression as much as possible, writing…

A: The given expression4logx2y3+7log1x-5logyProperties logarthim to be used:logxa=alogx…

Q: Use the Laws of Logarithms to expand the expression. log7 7r

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Q: Evaluate the expression without using a calculator log2 1/8

A: We need to evaluate log218without using a calculator.

Q: The Inverse Properties of logarithms state that loga ax = x and ________.

A: Our Aim is to determine the Inverse Properties of logarithms other than loga(ax)=x.

Q: Use the Laws of Logarithms to expand the expression. 5x7 logs y

A: We have to expand

Q: Use the Laws of Logarithms to expand the expression. log5 4st

A: log54st

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Use the properties of logarithms to expand Log4 5x2 (x+8).

A: The objective is to use the properties of logarithms to expand log45x2x+8

Q: Use the properties of logarithms to simplify log4 (4x2) for x > 0

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Q: Use the Laws of Logarithms to expand the expression. x2 + 2 log (x² + 5)(x³ – 4)2

A: Consider the log rules below.Use these log rules to expand the given expressions.

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Use the Laws of Logarithms to expand the expression. 6 log 6x

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

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

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Q: Use the Laws of Logarithms to expand the expression. .5 log2

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Q: Evaluate the expression without using a calculator. log8 6 - log8 3 + log8 2

A: To evaluate: The expression log86-log83+log82. Concept used: Logarithmic product rule: logab=log…

Q: Use the laws of logarithms to expand and simplify the expression. log(x(x2 + 4)−1/2)

A: The given expression is;

Q: Use the Laws of Logarithms to combine the expression. 4 log(x) – 8 log(x + 1)

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Q: Use the properties of logarithmic to expand the following expression as much as possible. Simplify…

A: Some properties of logarithm are: multiplication property: log (x y) = log x + log y division…

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Use the Laws of Logarithms to expand the expression. log: 6t

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

A: Solution of above logarithmic expression is written below.

Q: Use the Laws of Logarithms to combine the expression. Llog(x + 2)ª + log(x6) – log(x² – x – 6)³| 4 3

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Q: Use the Laws of Logarithms to expand the expression. 4x7 In (x + 3)8

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Q: Use the Laws of Logarithms to expand the expression. log2(xy)8

A: Solution - Let the given logarithmic function be y, then - y = log2xy8Using logarithmic property -…

Q: Use the properties of logarithms to expand log 8x³ (x – 2)*. 3

A: Given: log8 x3x-24

Q: Use the Laws of Logarithms to evaluate the expression. log3(9) 2

A: simple logarithm problem....

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Use the Laws of Logarithms to expand the expression Зx9 log3

A: The given logarithmic expression is,

Q: Use the Laws of Logarithms to expand the expression. x2 + 5 log (x² + 8)(x³ – 3)2.

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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: Find the domain and solve: log, 128 =x Domain Example: x=3; x-5 Solution Example: x=3; x35

A: The given function is  log2 128=x

Q: Use the Laws of Logarithms to expand the expression. 7x2 log4

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Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Use the Laws of Logarithms to expand the expression. log3 8x

A: log38x Concept log (ab)= log(a)+log(b) logabm = m logab

Q: Use the laws of logarithms to expand and simplify the expression. log( x(x2 + 7)-1/2)

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Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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