Condense the expression to a single logarithm with a leading coefficient of 1 using the properties of logarithms. 3 log7(c) + (log 7(a)/9 ) + (log 7(b)/9)

Q: Use the Laws of Logarithms to combine the expression. 3(log6(x) + 3 log6(y) - 5 log6(z))

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

A: Given, 2log5x+2log5y-3log5z

Q: Condense to a single logarithm with a leading coefficient of 1. logb(45) − logb(5)

A: For same base and for subtraction of logs, the numbers inside log divides.In this problem a=45 and…

Q: 625x8y6 17) log 5 z3 Rewrite the expression as the logarithm of a single q S. 18) 6 log t - log b.

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Q: Use the Laws of Logarithms to expand the expression. (a) log(- (月 (b) In (c) log 5/. X + 2 x³(x² +…

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

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Q: logb b4   ln 70

A: We can prove these questions using properties of lograthmic functions

Q: Use the Laws of Logarithms to combine the given expression. (a) log2(x2 + 5) (b) log 8 + 5 log x + 3…

A: Some laws of logarithm:

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: Use the Laws of Logarithms to combine the expression. 4 log(x) – log(x + 1) + 2 log(x – 1)

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Q: Use the Laws of Logarithms to combine the expression. 글og(x + 3)3 3)3 + log(x*) – log(x² – x – 12)2

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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 expression. 3 log(x) − 1/3 log(x2 + 1) + 3 log(x − 1)

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Q: Use properties of logarithms to simplify the following expression into a single logarithm: 2log(x) –…

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Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.

A: We will use the addition rule of logarithm.

Q: Condense the expression to a single logarithm using the properties of logarithms. log(x) -…

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Q: Condense the expression to the logarithm of a single quantity. log (x + 1) + 2 log3(x - 1)] + 6 log3…

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Q: Rewrite the expression 2 In 6 + 4 In x + 4 ln(x² + 8) as a single logarithm In A. Then the function…

A: We have to find

Q: Use the Laws of Logarithms to combine the expression. 3 log(x) - log(x² + 1) + 5 log(x – 1)

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Q: Use properties of logarithms to condense the logarithmic expression. 1 (log 4x+ log 4y) - 2 log 4(x+…

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Q: Use the properties of logarithms to simplify log4 (4x2) for x > 0

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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: Express given logarithm in terms of a and b: If log 2 =a, log 7=b, then log 56

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Q: condense the expression to a single logarithm with a leading coefficient of 1 using the properties…

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

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Q: Use the Laws of Logarithms to combine the expression. 4 log(x) – 8 log(x + 1)

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Q: Condense the expression to a single logarithm a. 14 log(x)+9 log(x+4) b. 2 log3(5) + 2 log3(x) - 3…

A: Coefficients of logs become exponents, and then use the addition property of logarithm.

Q: Which shows the expression In 4 - 2ln x written as a single logarithm.

A: Given expression is 12ln 4 - 2 ln x write it in single logarithm

Q: b) 4 log(x – 2) – 3 log( 5x + 1)

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Q: Condense the expression to a single logarithm using the properties of logarithms. log (x) – log (y)…

A: Given,            logx-12logy+7logz

Q: log(x) is the exponent to which the base 10 must be raised to get x So we can complete the following…

A: The objectives to complete the given table

Q: Condense to a single logarithm with a leading coefficient of 1. log8(x) + logg(3) + logg(y) +…

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Q: Find the common logarithm without using your calculator. log  1 100000    Suggestion: Recall that…

A: To Find: Common logarithm without using calculatorlog1100000 Concept: i. 110n=10-nii.…

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A: .To evaluate the logarithm at the given value of x without using a calculator.Function…

Q: Use the one-to-one property of logarithms to solve. log13 (4n – 16) = log13 (8 – 4n) %3D - = u…

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Q: Use the properties of logarithms to condense the expression to a single logarithm. 2 log (x) + 5 log…

A: Given : 2logx + 5logx+3

Q: use the laws of logarithms to combine the expression  a) log_a (b) + c log_a (d) -r log_a (s) b) 6…

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Q: Determine whether the following statement is true or not : Log(-1+431) =2Log(-1+/ãi)

A: Proceed as shown

Q: Use the Laws of Logarithms to expand the expression. log5(xy)7

A: Given expression log_5(xy)^7 We have to expand the expression using the laws of logarithms.

Q: Use the Laws of Logarithms to expand the expression. log() (601 (e) 24 (b) In x + 2 (c) log x3(x2 +…

A: We have to simplify

Q: Assuming x > 0, express the following expression in terms of a single logarithm with a coefficient…

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Q: Use the Laws of Logarithms to expand the expression. log2(7xy)

A: Use the laws of lograthim and expand.

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: Simplify the following into a single logarithm: 3 log(2) + 1 log(x) =

A: Given that  3log(2)+1log(x)

Q: . Use the basic properties of logarithms to find the value of the following logarithmic expressions:…

A: Consider the given information: Using basic properties of logarithms to find given values. a)…