Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.) ln z(z − 1)^9, z > 1

Q: Solve the equation

A: To solve the equation: logx2=log-3x-2 Solution: We know that if logax=n then x=an. Property of…

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

A: Given:Given that ln8x2y8To find:we have to expand the given expression

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

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

Q: Use the properties of logarithms to rewrite the expressions in terms of r, s, and t, where r = In a,…

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Q: II. Use the properties of logarithms to expand each expression. 3. 76 (zx)4 6. log4 5. log5

A: We have to simplify the expression as much as as possible by using property of logarithms

Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

A: Part (a): ln(x) = - 5 Use the logarithmic definition: if

Q: 3. Write the expression as a sum and/or difference of logarithms. Express powers as factors. Log().…

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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: Simplify. Enter the result as a single logarithm with a coefficient of 1. log3(7x^6)+log3(3x^9)

A: We use logarithmic properties

Q: Use the Laws of Logarithms to expand the expressions: *log3(AB3)   *log7(sqrt(7x^5/ y))…

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Q: Write the expression as a sum and/or difference of logarithms. Express 1/5 x² -x-2 In , x> 2 (x+ 4)2

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

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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: Use the one-to-one property of logarithms to solve. (Enter your answers as a comma-separated list.)…

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Q: Write the expression as the logarithm of a single number or expression with a coefficient of 1.…

A: Write the expression as the logarithm of a single number.It is given that the logarithm is sum of…

Q: Assuming x and y are positive, use the properties of logarithms to write the expression as a sum or…

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Q: Combine the expressions by writing them as a logarithm of a single expression. 2 log2(x + 1) − 5…

A: Given, an expression E=2log2x+1-5log22x+1-log2x-1   =2log2x+2-5log4x+2-log2x-2…

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

A: The logarithmic expression is given by lnx2yz Formula Used: lnm·n = lnm+lnn, lnmn = nlnm and lnmn =…

Q: Find the value of the logarithmic expression shown below if ln x=2, ln y=3, and ln z=4.…

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Q: Express single logarithm and simplify: 4. as a 3 logą(a + b) + 2 log4(a+ b) – log4c, a +b > 0,c > 0

A: Let's find.

Q: Use the Laws of logarithms to rewrite the expression In ( x° y14 z12 in a form with no logarithm of…

A: Given expression is, lnx9y14z12 The final equation, lnx9y14z12=Alnx+Blny+Clnz.....(1)

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: Expand the logarithmic expression: log4 log4 3 a) log4 x b) -x log4 3 c) log4 x- log4 3 d) log4 3 –…

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Q: Rewrite as one simplified logarithm. ln(3x) − ln(3)

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Q: Log(3-2x)=-1

A: if log(x)=y x=10y

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

A: We know, ln(x·y) = ln x + ln y lnxy = y ln x

Q: Use properties of logarithms to condense the logarithmic expression. (3ln (x + 7) - Inx-In (x- 4)]…

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Q: Use the properties of logarithms to write each expression as a single term. a. ln⁡〖(x+3)-ln⁡(x-1)…

A: According to the laws of logarithms we have: ln(a)-ln(b)=lnabln(a)+ln(b)=ln(ab)n ln(a)=ln(a)n

Q: • Evaluate the logarithm using the change of base formula and your calculator (2)(3x ) – 5 = 9…

A: Part 1,Given,         23x-5=9

Q: Use the Laws of logarithms to rewrite the expression x12/x - 1 In За — 12 - in a form with no…

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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: Write the expression as a sum and/or difference of logarithms. Express powers as factors.…

A: To write the expression as a sum or difference of logarithms.

Q: Use properties of logarithms to fully expand the following into the sum or difference of simpler…

A: Consider the given logarithmic expressions, the quotient rule, product rule and the power rule for…

Q: Use the properties of logarithms to rewrite the expression as a sum, difference, or multiple of…

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Q: Use the Laws of Logarithms to combine the expression into a single logarithm. (a)     log(a) + 9…

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

A: Given expression is: logx2+4x2+1x3-72 We have to expand the above expression.

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

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Q: Taking log both sidel, Ln(2 )= 2n (I+ o -05 )RE 12t 2n (I+ 0-05 12 LnC2) = 12t. in (It0.05) 12 0.…

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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: e7x = 3x − 4

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Q: Use the Laws of Logarithms to combine the expression. 3(log5(x) + 2 log5(y) − 4 log5(z))

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Q: log2(3x-1)=2 (answer should be in a fraction)

A: The given value is log2(3x-1)=2

Q: log4 (2x-1)+3=6

A: A logarithmic equation is an equation that involves the logarithm of an expression containing a…

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 expression as a sum, differences, and or constant…

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

A: The expression is ln10x7x5+7. We have to use the properties of logarithms to expand the expression…

Q: Writing log a x - log a y + 2 log a z as a single logarithm results in which of the following?(a)…

A: To calculate log a x - log a y + 2 log a z

Q: 2. Use the properties of logarithms to simplify the expression so that the result does not contain…

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Q: Use the Laws of Logarithms to expand the expression. (a) log ху ,5 (b) x + 2 (c) log .4, x*(x² + 4)…

A: a) Expand the given expression as shown below: logxy4z5=logxy4-logz5…