Simplify the following expression into a single logarithm: (5 +0)logx – (2 +0)log(3x) – log(12x*)

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

A:

Q: Expand the logarithmic expression. 7x In

A: To expand the below logarithmic expression. ln7x5y3

Q: Condense the expression to the logarithm of a single quantity. [log,(x + 1) + 3 log,(x – 1)] + 9…

A: Logarithm property

Q: Condense the expression log3 5x − 4 log3 x to the logarithm of a single quantity.

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Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.

A: We will use the addition rule of logarithm.

Q: Convert 6x = y to an equivalent statement involving a logarithm.

A: Given, 6x = y Aim to convert into equivalent statement involving a logarithm.

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: If log(7)x=0.4680​, determine the following.     log(7)x^2

A: Given:       To determine:

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

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Q: Vx*+12 In (x+16)/x-3

A: Given,                   lnx4+123x+16x-3=?

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

A:

Q: Combine the following into one single logarithm with a coefficient of 1 in front of the entire…

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Q: Write the following logarithmic statements in exponential form. 1. loga(32) = · 2. log10(y) = 4 3.…

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Q: Simplify the following expressions down to a single logarithm.

A: Using logarithmic Properties.

Q: ewrite as a single log. log,2x+3(loga X- log.y)

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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: 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: Rewrite the left hand side as an expression of a single logarithm: log3(x-1)-log3(x+2)=2

A: Given,

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

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

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Q: Condense the expression into a single logarithm. log, (w) 7 log, (x) – 2 log, (y) 3

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Q: 105x+3 = x2 + 8x %3D

A:

Q: Simplify the following expression 1.log283x

A: log283x

Q: Change the logarithmic expression to an equivalent expression involving exponents log 5 x= 2

A:

Q: Can you assist me with question 2: a, b, and c? I am unsure as to how I can proceed in terms of…

A: (a)Given:

Q: 4 - log3 (3x - 1) - 2 log3 3x

A:

Q: Recall the change-of-base formula. log,(x) log,(a) log,(x) =

A: Explanation and solutions is given below....

Q: Condense the expression to the logarithm -5 log, 3x -log(243x ")

A:

Q: Condense the following log expression. -2log3(xy)+4/5log3(z)^10+log3(x+1)

A: Condensing the logarithmic expression.

Q: logs x + log1

A: The given expression is log5x+log151x

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

A:

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: Condense the expression to the logarithm of a single quantity. [9 In(x + 5) + In(x) – In(x° – 4)] 2

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

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

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

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Q: Write the expression as a logarithm of a single expressio numbers. log, m- log, n +5 log, k

A:

Q: Simplify the following into a single logarithm: 3 log(2) + 1 log(x) =

A: Given that  3log(2)+1log(x)

Q: Write the logarithm in expanded form. log3((x2y)4)

A: Given information

Q: 3 log2 x2 + 2 log2 y - log2 z

A: Given:    3log2x2+2log2y-12log2z

Q: Simplify the fellowing into a single logarithm: 4 log(4) - 2 log(x) =

A: The answer is given in the below photo

Q: Change the exponential statement to an equivalent statement involving a logarithm. 2x = 7.2

A: Given exponential function - 2x = 7.2Taking logarithm on both sides - log2x = log7.2xlog2 = log7.2…

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

A:

Q: Expand the logarithimic expression.

A: log4x3y2x-15