Use the Laws of Logarithms to combine the expression. 3(log5(x) + 2 log5(y) − 4 log5(z))

Q: Use the Laws of Logarithms to expand the expression. log3(x√y)

A: Use law of logarithms to expand the expression .

Q: How do you use the properties of logarithms to write these two logarithms in terms of log3(5) and…

A: Solution: We know that:

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

A: Given:Given that ln8x2y8To find:we have to expand the given expression

Q: 2. log 2x2 2x log6 5 4.

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Q: Solve algebraically, showing all your steps. log(4000x)-log( x^2)=6

A: Given that log4000x-logx2=6To find : value of x

Q: 6) The expression log, 64 is equivalent to 1) 8 2) 2 3) 1 2 4) 1 8

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A: The given expression is log419b6c

Q: log 12 = ? A. log 3 · log 4 O B. 4 log 3 2 log 2

A: Given  What is log 12 =?

Q: .2 4. The expression log b is equivalent to 1) 1 log a? 4 logb 2) 4(loga² – logb) 3) (4loga - logb)…

A: A logarithmic expression is given. For the given expression, we have four options. From these…

Q: Use the Laws of Logarithms to expand the expressions: *log3(AB3)   *log7(sqrt(7x^5/ y))…

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Q: Use the Laws of Logarithms to expand the expression. log5(xy)3

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Q: In(3x + 2) = 4 In(x – 1) – In(x – 3) = 1 2 In(x) = In(4) + In(x + 3)

A: 1. Given In (3x + 2) = 4

Q: (a) Combine using laws of logarithms and evaluate log2 25 – log2 5 – log2 40

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Q: Q2. Use properties of logarithms to condense the logarithmic expression below. Write the expression…

A: To evaluate the expression

Q: Use the Laws of Logarithms to combine the expression. 1/2log2(5) − 2 log2(5)

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Q: Given log2 A + log2 B = 5, calculate all the possible integer values of A and B. Explain your…

A: Note: for any a>0, b>0, c>01) loga(b)+loga(c)=loga(bc)2) If logab=c then b=ac

Q: 4. Write the expression in terms of elementary logarithms (use the properties of logarithms) a) log…

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Q: log2(2)

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Q: Use the one-to-one property of logarithms to solve. (Enter your answers as a comma-separated list.)…

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Q: Using Law of Logs, find the exact value of both the expressions. A. log50.2 B.…

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Q: 8. Between what two consecutive integers must the value of log, 7342 lie? Justify your answer.

A: Consider the given logarithmic expression, log47342 since, the number 7342 lies between, 46=4096 and…

Q: r Use the properties of logarithms to solve the following equation. log,(x + 2) log,(14) – log-(x –…

A: Apply log rule, we have

Q: Expand the logarithm and simplify as much as possible: log:(x2 – 9) Use the properties of logarithms…

A: Solve using the properties of the logrithams

Q: 1)log7(49) Evaluate 2) Explain your result.

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Q: use the Laws of logarithma to expand the expression  a) log(x^2+9/(x^2+2)(x^3-4)^2

A: topic- logarithmic expressions log(a/b)=log a -log b log(ab)=log a +log b log (ab)=b log a

Q: . a. Evaluate log, 2 b. Evaluate 5 - log: 2 c. How do the values of the expressions in parts (a) and…

A: we have to evaluate the given expressions (a) evaluate log225(b) evaluate 5·log22(c) we have to…

Q: Solve log4 1x + 22 = log4 8

A: To solve the equation: log41x+22=log48 Solution: log41x+22=log48 On simplifying further we get:…

Q: Use the properties of logarithms to write the logarithm in terms of log5(3) and log5(7).…

A: The expression is given by log563 Formula Used:  logam×n=logam+logan logamn=nlogam To evaluate: The…

Q: 6. Write an expression equal to log3(4) + log,(5) |using at most one log. 7. Give one example a that…

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Q: Solve for y in terms of x. Simplify your answer. Show all steps.

A: given, log4y=-x

Q: 4. Write the expression as a single logarithm. Use properties of logarithms to simplify and condense…

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Q: • Evaluate the logarithm using the change of base formula and your calculator (2)(3x ) – 5 = 9…

A: Part 1,Given,         23x-5=9

Q: 3. Solve. Check your solution. log, (x +4)+log,(2r – 3) = log, 6

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Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

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Q: Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) −4 · 10p + 8 − 8 = −25 p =

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Q: Solve the equation: log3 (x) + log3 (z - 8) = 2 %3D | The solution is x =

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Q: Evaluate the expression: Enter ONLY the numerical answer that would go in for x DO NOT enter x =…

A: We have to find the value

Q: 2. log, 2+2 log,6-log,9 3. 5 logx-2 log 4 4. Use the change-of-base formula to evaluate log, 82.…

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Q: Use the properties of logarithms to write the following expression as a single term that doesn't…

A: Given e8-2lnx+lny

Q: 4. Simplify the expression. a. log3 (expand completely) а.

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Q: use the Law oflogarithmato expand the expression a) log7 (AB^5)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: log2 (r² – 1) + log2 (1) = 13+ log, (x)

A: Please refer the attached image for complete solution. THANK YOU.

Q: a. Evaluate log4 64 – log4 4 64 b. Evaluate loga () c. How do the values of the expressions in parts…

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Q: Solve the equation. (Enter your answers as a comma-separated list.)   log6(x) + log6(x − 6) =…

A: The objective is to solve the given equation

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: 8. log81 3/4

A: To solve for x

Q: Log4(k2+2k)=log4 15

A: Given equation is, log4(K2+ 2K)= log415 So we can write is as K2+2K= 15

Q: the properties of logarithms to write the expression as a single logarithm. log5(x + 9) + 1/7…

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Q: Solve the logarithmic equation. (Enter your answers as a comma-separated list.)   log2(7x + 2) = 4

A: