In Exercises 41–67, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. 41. log5 + log2

Q: Use properties of logarithms to expand the logarithmic expression ln 7√x as much as possible. Where…

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Q: Use the definition of logarithm to determine the exact value of each expression in Exercises 1-10.…

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Q: Use properties of logarithms to expand the logarithmic expression logb x7 as much as possible. Where…

A: Properties of logarithms:  loga(P) = loge(P) / loge(a) log (x)n = n*log(x)

Q: In Exercises 64–73, solve each exponential equation. Where necessary, express the solution set in…

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Q: se the definition of logarithms to completely simplify e^in(2.3)

A: Explanation: Given that logarithm expression.

Q: 9. In the definition of the logarithmic function log, x, what are the allowable values for the base…

A: logbx

Q: Expand the logarithm using the laws of logarithms: logs

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Q: suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of…

A: Given that, ln 2 = a and ln 3 = b Then, we have to write In 8 in terms of "a" and "b". Since the…

Q: HOW ALL WORK pand the logarithmic expression using the properties of logarithms: In xy

A: Topic :- algebra

Q: Use properties of logarithms to expand the logarithmic expression logb(xy3) as much as possible.…

A: Given, the expression logb(xy3), we have to expand this expression.

Q: In Exercises 9- 16, write each expression as the logarithm of a single expression with coefficient…

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

Q: Use properties of logarithms to expand the logarithmic expression logb(xy3) as much as possible.…

A: Given:

Q: Using logarithmic properties, what is the solution to log4(y – 9) + log43 = log481? Show all…

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Q: Use properties of logarithms to expand the logarithmic expression log5(125/y)  as much as possible.…

A: Given,           log5 125y

Q: In Exercises 23-25, write each expression as a single logarithm. 23. 8 log, x log, y 24. 7 logs x +…

A: The given expression is 8log7x-13log7y

Q: Using Properties of Natural LogarithmsIn Exercises 61–66, use the properties ofnatural logarithms to…

A: Use the properties of natural logarithms to simplify the given expressions     Properties of…

Q: Use properties of logarithms to expand the logarithmic expression logb x3 as much as possible. Where…

A: Expand logbx3

Q: 3(log7(x) + 2 log7(y) − 4 log7(z))

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Q: In Exercises 74-79, solve each logarithmic equation. 74. log.(3x – 5) = 3 75. 3 + 4 In(2xr) = 15 76.…

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Q: In Exercises 50-53, use properties of logarithms to expand each logarithmic expression as much as…

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Q: 2. Rewrite the equation log(0.001) = - 3 using exponents instead of logarithms.

A: Given log(0.001)=-3If there is no base given we can consider the base as 10log10(0.001)=-3

Q: Use properties of logarithms to expand the logarithmic expression log4(64/y)  as much as possible.…

A: Given logarithm expression is log464y . Properties of logarithm are: 1). logmn=logm-logn 2).…

Q: Use properties of logarithms to expand the logarithmic expression logb x3 as much as possible. Where…

A: Given logarithm expression is logbx3. Properties of logarithm are: (1)logam=mloga (2)logab=logbloga…

Q: | Use appropriate laws of logarithms to evaluate 3 log16 2 +2 log16 8 – log16 2.

A: Log properties

Q: 8.) log2(3)(37) 9.) log4(64)(37) + log3(343)(2) 2 10.) log10 0.02 + log4– log2 47 3

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Q: Use the Laws of Logarithms to expand the expression. log z2

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log æ.…

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Q: 5.2 logarithmic en(4t+1Det

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Q: Use properties of logarithms to expand the logarithmic expression logb x7 as much as possible. Where…

A: The given logarithmic expression is logbx7. Properties of logarithms: logbP=logaPlogablogxn=nlogx

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

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Q: Use properties of logarithms to expand the logarithmic expression ln (e4/8) as much as possible.…

A: Given: lne48

Q: 5. Use properties of logarithms to contract log 2+5 log x-logy into the log of a single expression.

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Q: 30. log3 (금) -3logs (3)

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Q: Use the Laws of Logarithms to expand the expression. log2 (AB2)

A: Given expression is log2 (AB2)

Q: Use the Laws of Logarithms to evaluate the expression log2(40) – log2(10) -

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Q: Convert the exponential equation 7" = 2 into the corresponding logarithmic equation. Submit Question

A: 7x = 2 Taking logarithm both sides with 'e' as the base, we get,

Q: 3 In e² 8. |

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

A: Expand the logarithm fully using the property of logs. Express the final answer in terms of log x.…

Q: In Exercises 29-44, write each expression as a logarithm of a single numbe if possible. Assume each…

A: We have to express in single expression from the given expression

Q: 5. Condense the logarithmic expression logx-logy+logz.

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Q: 4. Rewrite in logarithmic form. b = am.

A: Given :b=am

Q: Use the Laws of Logarithms to expand the expression. In √ab

A: Given: The expression lnab. The given expression can be expanded as, lnab=lnab12…

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

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Q: 6. Expand In a*b² as a sum, difference; and/or constant multiple of logarithms.

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Q: What is the value of log, 8? Enter your answer in the box. log2 8 %3D

A: Find: log28 = ?

Q: 4. 3. Use the Laws of Logarithms to combine the expression.

A: Given, 14logx+24+13logx6-logx2-x-63

Q: 2) Use laws of logarithms to fully expand the expression. log9 x²+9.

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Q: The power rule for logarithms states that logb Mp =______ . The logarithm of a number with an…

A: The power rule for logarithms states that logbMp=______ . The logarithm of a number with an exponent…