Express as an equivalent expression that is a single logarithm. log (x2 - 64) – loga(x+ 8) log a (x? - 64) - log, (x+ 8) = (Simplify your answer.)

Q: Use common logarithms to solve for x in terms of y

A: Given, y=10x-10-x10x+10-x y10x+y10-x=10x-10-x now simplify in terms of y…

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

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Q: for which value of x is the expression log7(2x-3) undefined

A: The logarithm function log(x) is defined only for x>0. So the  logarithm of a negative number  is…

Q: If log10(2x - 4) = 1+ log10 4, then 'x' is equal to Answer:

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

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

A: To solve the logarithmic expression

Q: Solve this logarithmic equation: 2log4x = log49

A: To solve the given logarithmic equation.

Q: The domain of the logarithmic function f1x2 = loga xis ________.

A: To find the domain of :f(x)=loga(x) Solution: The logarithmic function is defined as follows:…

Q: Use the Laws of Logarithms to combine the expression 3(log7(x) + 2 log7(y) – 4 log7(z)) -

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Q: Write the expression as a logarithm of a single quantity. + In(x + 5) – 3 In(1 + Vx) 2

A: Given expression is ln6+12lnx+5-3ln1+x We have to write given expression as a logarithm of a single…

Q: Write log, x + log, y as a single logarithm with coefficient 1.

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

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Q: Solve for x.

A: (a)log3x=-1(b)log2x=-4

Q: Write the expression as a logarithm of a single expression. log vx + log x- log x

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Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve…

Q: Find the value of x if log; (a + 2) = 2 %3D

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the laws of logarithms to expand and simplify the expression. x3 In Vx (1+x)5,

A: To simplify the expression

Q: Write the expression as a single logarithm with coefficient 1. log(x – 5) + 3 log(2x + 1) – 2 log(x)

A: properties of logarithms are alogcb=logcba logca+logcb=logcab logca-logcb=logcab

Q: Write this expression as a single simplified logarithm: log4(x2 - 1) - 5 log4(x + 1)

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Q: Use the Laws of Logarithms to combine the expression. 4 log(x) -- log(x2 + 1) + 4 log(x – 1)

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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: Find the value of x log2(log4x)=3

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

A: log32xy

Q: 3) y= log, x-8

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find x using logarithmic rules. 2.6x = 4x+1

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Q: Write the expression as a single logarithm. 1 -3 log x - log y + 5 log z 2

A: Recall the following rules:

Q: Write the expression as a single logarithm with a coefficient of 1. In x - (9 In y + In z)

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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: Write the expression as a single logarithm: x - [ log x + log( x² + 1) + log( x* + 2)]

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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: Express as a single logarithm and, if possible, simplify. log (x²-2x-35) - log (x²-25) log…

A: Using log(a)- log(b)= log(a/b)

Q: Use the One-to-One property to solve for x: log, (x + 2x) = log, (3x + 2).

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Q: Write as a single logarithm: 31n.r + 1 In y - 21n 3

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Q: Write the expression as the logarithm of a single quantity                                3[ln x − 2…

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

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Q: Express the equation in logarithmic form.

A: a). Given, 8-1=18 The logarithmic form is, log818=-1    ∵ax=y⇒logay=x

Q: Find the value of x, if log(x+5)+log(x-5)=4log2+2log3

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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: Solve for x. -8+ log, (x+4)=-6

A: Given -8+log5(x+4)=-6 Or, log5(x+4)=8-6=2 Or, (x+4)=52  [since loga(x)=m, then x=am] Or, x+4=25 Or,…

Q: Find the value of y from log, y = - O-3 -/3 -/3

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Q: 1 log,(x-1)-log,(x-4) = 2log, 232

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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: Rewrite the expressions as a single logarithm. log,(x-3)-2 log, y- 3 log,(x+ 1)

A: Given query is to write the expression is single logarithmic expression.

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

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Q: Write 5 log(x - 2) +log y- 7 log(z+ 4) as a single logarithm.

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

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Q: Expand the logarithimic expression.

A: log4x3y2x-15