Rewrite as an equivalent expression involving a single logarithm. 3 log5(x) + log5(x + 1) – 2log5(x – 1).

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: Evaluate. Give the exact answer when possible. b. In c. log.(-6) d. 7log7(2x-1) logV e. log, 240 a.

A: We have to evaluate the expressions: a. log2435b. ln1e5c. log6-6d. 7log72x-1e. log6240 We know…

Q: 6. If log3 = s and log2 = t, rewrite the expression log72 in terms of s and t.

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Q: Use the Laws of Logarithms to expand the expression: x + 2 3 log |x*(x² + 4) Combine into a single…

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Q: 6 log(x² – 81)–12[log(x+9)–3log(x)]

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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: 2 log3 x + 5 log3 y – 2 – 7 log z -

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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: Which of the following is equivalent to log₂ (2x²) - log₂ (¹) - log₁(x¹)? Select one alternative: O…

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Q: 2) When written as a single logarithm, the expression log16x^8-log2x-log4x^2 options: A) log4x^5 B)…

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Q: Rewrite the expression log x + 5 log y – 5 log z as a single logarithm log A. Then the function А —

A: Rewrite the expression  logx+ 5logy-5logz  as a single logarithm logA . Then the function A = ?

Q: Use the Laws of Logarithms to combine the expression. 3 log(x) − 1/3 log(x2 + 1) + 3 log(x − 1)

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: The given logarithmic equation is:  log z5xy3

Q: Rewrite the expression below as a single logarithm. 3(log10 x + 2log10 y − 3log10 z) =

A: Recall the laws of logarithm explained on the white board.

Q: Which of the following equals 2 log(9) + 2 log(x)? O log (9'a) log(2 9 2a) O log (2 -9 a2) 2.9 log…

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Q: Simplify the expression log(x-x-6)–log(x²-5x+6) restrictions on the variable. as a single logarithm.…

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

A: topic - logarithmic

Q: Rewrite the expression 1/4 log(2x+1)+1/2 {log(x-2)-log(x^4-x^2-10)} as a single log A. Then, the…

A: The given expression is: 14log(2x+1)+12{log(x-2)-log(x4-x2-10)} To write the above expression as a…

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: Write the following expression as a single logarithm. Simplify as much as possible. log3 (a2) –…

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Q: Expand the logarithmic expression log2 (). 5y

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Q: 3(log7(x) + 2 log7(y) − 4 log7(z))

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

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Q: Use the Laws of Logarithms to expand the expression. x2 + 4 log V (x? + 6)(x³ – 7)2

A: Here I am attaching image so that you understand each and every step.

Q: Rewrite the following expression in terms of log a(2) and log a (5). log a (V80)

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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: Simplify the expression log(2x – 2) – log(x² – 1). State the restrictions on x. - -

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Q: 4. Write the expression as a single logarithm. 2Log[- 2Lo 1+Log[x² + 2x - 63- Log- x2-2x 35 1 (x-7)2…

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Q: Express the following expression as an equivalent expression that is a single logarithm. 2 logbx+7…

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

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Q: 2. Use the properties of logarithms to rewrite each expression as a single logarithm. a. log x +2…

A: given,        a.    logx+2logy-logzb.    12logx-2logy-3logz

Q: Rewrite the expression below as a single logarithm. 5(log7 x + 2log7 y - 5log7 z) = %3D

A: Given: 5log7x+2log7y-5log7z

Q: Rewrite the expression 5 log æ – 5 log (x? + 1) + 2 log(x – 1) - - as a single logarithm log A. Then…

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Q: Fully expand the following logarithmic expression into a sum and/or difference of logarithms of…

A: We know that,ln(m)+ln(n)=ln(mn)ln(m)-ln(n)=ln(mn)ln(mn)=nln(m)Here…

Q: Use the Laws of Logarithms to expand the given expression. (a) log(xy) )13 13·log (x) + 13 log(y) x'…

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Q: Which is the equivalent to the equation given below? Go from Exponential form to Log form. 7 = 24…

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Q: Write the expression as a single logarithm. 1 7 log.y- - log, w+4log.z

A: Given the logarithm expression :

Q: Use the Laws of Logarithms to expand the expression. (a) log log() (b) In (c) log x + 2 x³(x² + 4) (

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Q: Rewrite the expression 5 log z - 4log(² + 1) + 2 log (x – 1) single logarithm log A. Then as a A=

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

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Q: Which are true of x = log10 31, 500? Select all that apply. O x 4 O x 5

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Q: Which of the following is equivalent to 2log3(b)+5log3(x)– log3(a)?

A: Given expression is 2log3b+5log3x-log3a Used log rules: 1. logxy=ylogx2. logx+logy=logxy3.…

Q: Use the Laws of Logarithms to expand the expression. ху4 log 25 (a) In (b) х+ 2 log (c) x5(x2 + 4)…

A: Given:

Q: Use the Laws of Logarithms to expand the expression. (a) log (xy5 (b) In x + 2 ,3v2 (c) log x3(x2 +…

A: values = ?

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

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Q: Expand the logarithmic expressions 1. log(10 000x) 2. logb √x3 √ y / z

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Q: Write the expression as a single logarithm. 1 3 log.y- log, z+5 log.x 4

A: We know that logax+logay=loga(x*y)logax-logay=loga(xy)mlogax=logaxmGiven…