Use the product rule to expand the logarithmic expression: log4(7 . 5)

Q: Use the product rule to expand each logarithmic expression:a. log4(7 . 5)  b. log(10x).

A: According to product rule of logarithmlog(ab) = log a + log b

Q: Expand the expression using the laws of logarithms: log3 10

A:

Q: Use the​ change-of-base theorem to find the logarithm log 26

A: According to change of base theorem, logab = log b / log a

Q: Evaluate the expression without using a calculator.

A: To evaluate the expression without using calculator: log381 Solution: We know that, logmn=nlogm and…

Q: Assume that x, y, and a are positive numbers. Use the properties of logarithim to write the…

A: Assume that x, y, and a are positive numbers. By using the properties of logarithim to write the…

Q: Use the change of base rule to find the logarithm to four decimal places. log9 .88

A:

Q: Solve for all values of x log, (a + 3x + 18) = 2 Answer: Submit Answ Privacy Pc Copyright 2021 Deit

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Q: Use the product rule for logarithms to find all x-values such that log12(2x + 4) + log12(x + 3) = 2.…

A:

Q: Use logarithm properties to show how to rewrite the following expression

A: Let the given logarithmic terms be y - y = log25 + log87y = log25 + log7log8…

Q: Use the power rule to expand the logarithmic expression: log(x + 4)2.

A:

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

A: Given, log(2x²+7x+6)-log(x²-4)

Q: Expand using the properties of logarithms. 5x 3y log 6z

A:

Q: log, t3g

A: given log5(x3y2t3g)

Q: Evaluate the expression without using a calculator.

A: Evaluate the expression without using a calculator. loga1a using the logarithmic property.…

Q: Use the change based formula to compute log 4 (is at the bottom) 5. Round your answer to the nearest…

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Q: Check the result by using the related exponential form.

A: As you asked only question (3) so , I answered here only for subpart (c)

Q: Use logarithmic properties to expand the expression as much as possible:  log5(√x/25y3).

A: The given expression is log5x25y3

Q: Describe the following property using words: logb bx = x.

A: we have to decribe the following property in the words:  logbbx=x

Q: Assume logb x = 0.36, logb y = 0.56, and logb z = 0.83. Evaluate the following expression. logb xz

A: log rule logamn=loga(m)+loga(n)

Q: Use the power rule to expand the logarithmic expression: log5 74

A: Given that log5 74 We need to expand the logarithmic expression using power rule.

Q: For Exercise, simplify the expression without using a calculator. logv 1

A:

Q: Use the defination of the logarithmic function to find x.

A: Part (a): Given, log7149=x

Q: Assume logb x = 0.36, logb y = 0.56, and logb z = 0.83. Evaluate the following expression. logb x2

A: We have to evaluate logbx2 where, logbx=0.36logby=0.56logbz=0.83 We know logarithmic properties:…

Q: Use the power rule to expand the logarithmic expression: log (4x)5.

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

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Q: Use the power rule to expand the logarithmic expression:  log6 39

A: Let the given value be y -y = log639Using power rule logarithmic property - logab =…

Q: Use the defination of the logarithmic function to find x.

A: Definition of the logarithmic functions helps to find the values of x. Apply the logarithmic…

Q: Use the change of base formula to express log, 2 using In, the natural logarithm.

A:

Q: Evaluate using the change of base formula (without a calculator).

A: To calculate the given equation

Q: Can you assist me with question 2: a, b, and c? I am unsure as to how I can proceed in terms of…

A: (a)Given:

Q: Use the change-of-base theorem to find the logarithm. log 47

A: Here we find logarithms value.

Q: Find the domain and range of y=log5(3+6x) Domain is ? Range is ?

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Q: Evaluate the expression without using a calculator. loga

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Q: Use the change-of-base formula to find the approximate value. log4 x3 + log2 √x = 8

A: The logarithmic equation is: log4 x3 + log2 √x = 8 We have to solve this equation. We have, log4…

Q: Use the definition of logarithm to simplify each expression: ln en

A: Givenln(en)

Q: Change the logarithmic statement to an equivalent statement involving an exponent. logb 4 = 2

A: We have to change the given logarithmic statement to an equivalent statement involving an exponent:…

Q: Use logarithmic properties to expand the expression as much as possible:  log6(3√x / 36y4)

A: Use logarithmic properties to expand the expression as much as possible:  log6(3√x / 36y4) .

Q: Use the Change of Base Formula to evaluate log12 27.

A: Given: y=log1227 We know that logab=log10blog10a…

Q: Use the logarithm rules to expand the logarithmic expression as a sum, difference, and/or constant…

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Q: Change the logarithmic statement to an equivalent statement involving an exponent. log3 2 = x

A: log32=x

Q: Use the interpolation method to find log10 1044 from the following data: x = 1000 (10) 1050, y =…

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

Q: Convert the expression to the log, x using base 10

A: Given that: log5x using base 10.

Q: Assume logb x = 0.36, logb y = 0.56, and logb z = 0.83. Evaluate the following expression shown.

A: Our Aim is to evaluate the expression given below:-logbxyz-(i)

Q: Use the product rule to expand the logarithmic expression: log6 (7 . 11)

A: we have to use the product rule of logarithm to expand the logarithmic expression. log6 (7 . 11)