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

Q: Express log in terms of A, B, C, where log 2 = A. log 3 = B. and log 7 = C. 2A 2B 1 OA+B-1 ОА+2B -1…

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

A: Here we have to find the value of x=? a) logx16=4b) logx8=32

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

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

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Q: Expand the following expression using the properties of the logarithms. Assume x and y are positive.…

A: Consider x,y>0 . Properties of logarithm:  Product rule : ln xy=ln x+ln y Quotient rule :…

Q: log, (x³y?) + log3 x 27 log, (x³y²) + log3 x²y

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Q: Assume that x, y, and a are positive numbers. Use the properties of logarithim to write the…

A: Assume that x, y, and a are positive numbers. By using the properties of logarithim to write the…

Q: Express the following log expression as a single log with a coefficient 1: -12log5^x+2log5^y=

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Q: Express the below expression as one single log. 3 + 0.5log, x + 0.5log,y - 3log ,z

A: Given,3+0.5log3x+0.5log3y-0.5log3z

Q: Solve the following: log, (x-2) + log, (x ) = 1

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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: If log 2 = 0.3010 and log 3 = 0.4771, find the value of log5 512

A: To determine the value of the log5(512)

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: Use the properties of logarithms to simplify the following functions before computing f 1x2.

A: Logarithmic functions exponential functions are inversely related to each other. For example, we…

Q: express as one logarithm with a coefficient of 1:3log a/x+log b/y -2log c/z

A: Solution is given below:

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: 2 5(log x + log 2w) 3

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Q: Expand the following logarithm as much as possible. ,2.3 x*y log7

A: Solve the following

Q: State the expression log in terms of individual logarithms of x, y and z.

A: Given log z54x2y7

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

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Q: Find x in the following logarithmic functions: a) log10 x = 2; b) log10 x = -3 ; c) log10 x = HIN

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Q: Combine into a single logarithm.

A: 32log2x-y-2log2x2+y2

Q: Evaluate the following expressions 5. log, 3

A: Evaluate the given expression.

Q: Expand the logarithm and simplify as much as possible. 3y4 log, () =

A: We have to solve given expression.

Q: Determine the expanded form of the following log expression log5(x^-7y^5/z^10)

A: We need to determine the expanded form of the following log expression log5x-7y5z10. So,…

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

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

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

Q: 200 log 1000bx – log-

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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: Simplify the following: log 2 x ³-log ₂ x 4 Select one: O a. log ₂x O b. 4 log2X O c. 2log ₂ x O d.…

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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: Expand the logarithimic expression.

A: To expand the logarithmic expression: log5x21-5x32x3-x Solution: Properties of logarithmic…

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

A: Definition of the logarithmic functions helps to find the values of x. Apply the logarithmic…

Q: Simplify the following (show all steps): i. log2(x - 2) – log2(x + 2)² + log2(x² + 10x + 16) ii. 5x…

A: I The given expression is log2x-2-log2x-22+log2x2+10x+16. Simplify the expression as follows:…

Q: use the following function to answer the statements below: y=log(−x−3)−2 1. as x → -∞ 2. as x → -3

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Q: Expand the logarithimic expression.

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

Q: Write the following expression, 5 log, (x) – log, (3x), where b > 0, as a single logarithm.

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

A: The solution of the second problem is given in the next step.

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

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

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: Find log,o x: 10a /0.1 10

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Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

Q: Use the fact that: loga (x) = -3.4, loga (y) = 4.3, and loga (z) = 6.2 to evaluate the following:…

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Q: Write the expression as a single logarithm. 1 log3 z+7log3y 3 log; x- 5

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

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

A: Given information

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)

Q: Expand the logarithimic expression.

A: log4x3y2x-15