3. Condense the logarithms: log2 x + log, 5 – log2 (x + 5) - 5 log2 (x - 5)

Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: 2 Find x so that log10 x = log, 10

A:

Q: Given that logx = -2 and logy = 3 then simplified value of log(x7 * y³) is 29 -5 32 15 None of these

A: Given: logx = -2 and logy=3 To evaluate: logx7×y3 We know the following logarithm properties logmn=…

Q: 6. Condense the logarithmic expression 2 lnx- In(x* +1).

A:

Q: 15) Use the properties of logarithms to rewrite each 2 a. In c. In 5y b. In Vr+2 d. In ¤(x +1)´

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

Q: Differentiate. a) y=log2(3x) b) f(x)= -7 log(x2) c) g(x)= x6log(-4x) d) h(x)= log8(2x4-3x)

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: given log10 x = 2 and log10 y = -1. show that xy-100y2 = 9

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Q: Expand into several logarithms: x² y? In z5

A: We need to expand the given logarithms into several logarithms lnx2y3z5

Q: Condense the expression to the logarithm of a single quantity. 4 log (x) log4(y) - 3 log4(z)

A: Given query is to compress the logarithmic expression.

Q: Use the Laws of Logarithms to combine the expressior 5 log(x) 4 ! log(x2 + 1) + 5 log(x – 1) -

A:

Q: use the properties of logarithms to expand log(z^5x)   log(z^5x)=

A: Answer: Solving the given integral by properties of logarithm as follows:

Q: Use the properties of logarithms to expand the quantity:  log2(x10y/z5)

A:

Q: Condense into a single logarithm. Simplify as much as possible. 2 log x +log(y) – 3 log(2x) =

A: From the properties of the log:   alogcb=logcbalogca+logcb=logcablogca-logcb=logcab   Given;…

Q: 8. Use the properties of logarithms to expand the following into a sum or difference of logarithms.…

A:

Q: 3. Expand the logarithms below: log,(3x'y^y' b. log log (– 2a²b*)* а.

A: Solution:  The objective is to expand the given logarithmic functions

Q: 12.) Use the laws of logarithms to combine: 2 log x + 1 log(x² + 1)

A: We have to use the laws of logarithms for the given equation.…

Q: 1. Express as a single logarithms and if possible simplify. loga 75 + loga 2 ½ log n+ 3 log m

A: We can solve the two subparts as below.

Q: If log3 (5) = 3y, log; m² = 6 and 2 log; (4) = 4x then what expression (in terms of x and y) is log3…

A:

Q: (a) If logx16=2, then x= (b) If logx81=4, then x=

A: For (a), Given logx16=2. So,          logx16=2⇒1log16x=2Multiply both sides by…

Q: Use log, 20.335, log, 30.593, and log, 50.778 to approximate the value of the given logarithm to 3…

A: On solving this we will get

Q: Express the quantity as a single logarithm.   In 3 + 1/3  In 8

A: Given- ln3+13ln8 To express- The above expression as a single logarithm. Formula used- lnam=mlna and…

Q: Condense the expression to the logarithm of a single quantity. 3 log3(x) +log3(y) - 8 log3(z) X

A:

Q: 4 In x + In(x - 25) is the base e logarithm of

A: solution:-

Q: log (x2) - log(v9) + log(z4) condensed into a single logarithm is expressed as log() Select one: O…

A: Expression is given by logx2 - logy + logz4 To evaluate : Single logarithmic expression.

Q: 16) Condense 3 log(x) + log(4y)- 2 log(5z) into one logarithm. A) log10z) B) log () C) log () 5z2

A: We have to condense the given logarithm into the single logarithm, 3 logx+log4y-2 log5z We know the…

Q: Use log, 2 0.335, log, 3 0.542, and log, 5 = 0.778 to approximate the value of the given logarithm…

A:

Q: Express as a sum of logarithms. log 6(13 • 14) = %3D log 6(13 • 14)

A: We will use the logarithmic property return below

Q: Use log, 20.401, log, 3≈ 0.503, and log, 5 0.794 to approximate the value of the given logarithm to…

A: Given : logb2≈.401 , logb3≈.503 and logb5≈.794 To find : logb75≈?

Q: Practice question 9

A: The given logarithmic expression is log a + log 1–2 log b.Simplify the given expression as follows,

Q: 4. (a) Use logarithm properties to expand In ( (@+5)(x – 6)² (x+ 3)3). (b) Rewrite log3(x) + log3 (y…

A:

Q: Use the definition of a logarithm to find the exact solution for 4 log (2n) - 7= -11

A:

Q: Expand the logarithmic expression In(XY^2Z^3)

A: To expand the logarithmic expressionlnxy2z3

Q: Find the domain of the function. f(x) = 3 - 2 log4 (x/2 - 5)

A: Given function is: f(x) = 3 - 2 log4 (x/2 - 5) We have to find the domain of this function.

Q: 11. Write as a single logarithm: 1 log2 X +3 log2 Y - 3 ·log2 Z

A: To write: The expression 13log2X+3log2Y-52log2Z in single logarithm. Formula used: Logarithmic rule:…

Q: Write the expression as a logarithm of a single ex 1 4 In x- In y 4 Iny-D] 4 In x- %3D 4

A: Using power rule and quotient rule of logarithm,

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

A:

Q: 1.Use log properties to condense: a. log8x + log8p b. logx1= 0

A: We will use the property of logarithmic For a part we will use the property loga(x*y) = loga(x) +…

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

A: Use the Laws of Logarithms to expand the quantity.

Q: 7) use the properties of logarithms to: a, expand the expression log(x3z y2)

A: Consider the given expression log(x3z y2)

Q: Suppose log, 3 = 15 and log, 5 = 22, find: %3D a) log. 9 b) loga 75

A:

Q: Expand the logarithimic expression.

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

Q: Use log, 2 0.327, log, 30.542, and log, 5 0.835 to approximate the value of the given logarithm to 3…

A:

Q: 1. Write log (x) - 3log(2x-3) + 5log(x-2) - 1/4log(x+5) as a single logarithm.

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Q: Express the quantity as a single logarithm.   In 5 + 5  In 3

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Q: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

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Q: 2. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much…

A: Using logarithmic identities we can solve for the given statements

Q: Express

A:

Q: 12.) Use the laws of logarithms to combine: 1 2 log x log(x² + 1) - 2

A:

Q: Use your knowledge of the logarithm properties to condense log(x) + 2 log(5) + 5 log(y) as a single…

A: Our Aim is to condense the following expression log (x)+2 log (5)+5 log (y)as a single logarith with…