Determine whether the below given statement makes sense or does not make sense, and explain your reasoning: "It’s important for me to check that the proposed solution of an equation with logarithms gives only logarithms of positive numbers in the original equation."

Q: Change the exponential statement to an equivalent statement involving a logarithm. a3 =2.1

A: It is known that exponential functions and logarithmic functions are inverse functions. So, this…

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

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Q: Rewrite the equation y = 4.5(0.6)x in terms of base e. Express the answer in terms of a natural…

A: The given equation is The exponential form with natural base e is  Compare the above equations…

Q: Condense the expression 3 ln x + 2 ln(x + 1) to the logarithm of a single quantity.

A: The logarithms have the following properties. Given logarithm expression:

Q: 1. Write the logarithm possible. as the sum or difference of logarithms. Simplify each term as much…

A: The following rules are used in simplifying the given logarithms. lnmn=lnm+lnnlnmn=lnm-lnnlnmn=nlnm…

Q: Question 8 Find the logarithm. lor, (3)-[

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Q: Find the exact value of the logarithmic expression. In e O A. 1 O B. e O c. 0 D. - 1

A: ln is logarithm with base e.

Q: Below is a logarithmic equation, with numbers (represented here as letters z and y) that are…

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Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much…

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Q: Below is a logarithmic equation, with numbers (represented here as letters r and b) that are…

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Q: I can evaluate some common logarithms without having to use a calculator ,Determine whether the…

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Q: Condense the expression to the logarithm of a single quantity. ln x − [ln(x + 1) + ln(x − 1)]

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Q: Rewrite the following equation in logarithmic form and use that to solve for the variable. Show all…

A: To solve for x

Q: Find the solution of the exponential equation e2z+1 in terms of logarithms, or correct to four…

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Q: 4. a) Can you punch the following into your calculator and solve? Why or why not? log,(512) b) Based…

A: Yes, calculation of logarithm in calculator can be performer easily we have to use ln if log is…

Q: If log 5 b, what is log 1250 in terms of b? Alice says the answer is b+1; Harvey says the answer is…

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Q: Describe in words what a logarithm is

A: Logarithm is the power to which number be raised in order to get other number.

Q: Determine whether the following statement is true or false, and explain why. log10 0 = 1

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Q: Find the exact value of the logarithmic expression without using a calculator. ln (1/square root of…

A: Please see the explanation below

Q: Solve the following logarithmic equation. Give the exact value for full credit. log8(x+5) -…

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Q: Find the solution of the exponential equation 1000(1.07)" = 500, 000 2t in terms of logarithms, or…

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Q: Find the solution of the exponential equation e2a +1 – 28 in terms of logarithms, or correct to four…

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Q: Evaluate the following logarithmic expression without the use of a calculator. Write your answer as…

A: Please refer the attached image for complete solution.

Q: Use the Laws of Logarithms to combine the expression. In(a + b) + In(a – b) – 3 In(c)

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Q: 2. Solve the following logarithmic equation or FULLY explain why it is not possible: log(-8)

A: Logarithm of a number is defined as a quantity representing the power to which a fixed number (the…

Q: Determine whether the following statement is true or false, and explain why.

A: We know, By definition: logax=y,if and only if x=ay Also by logarithmic property:logaan=n…

Q: The change-of-base formula is often used to convert a logarithm to a ratio of logarithms with base…

A: The change of the base formula is often used to convert a logarithm to a ratio of logarithm with…

Q: Solve this application using logarithms. How much principal, to the nearest dollar, should you…

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Q: Tell me about how another application in the real world, other than pH, uses logarithms to deal with…

A: To tell uses of logarithms

Q: Use the laws of logarithms to simplify the expression. ln (x2)/ x1/2(1+x)3

A: Given,            lnx2x1/21+x3

Q: Find the solution of the exponential equation 100(1.06)t = 500, 000 in terms of logarithms, or…

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Q: Use the Laws of Logarithms to expand the expression: log(x +y*

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Q: Condense the expression to the logarithm of a single quantity. 5 In(2) – 9 In(z - 3)

A: use logarithm identity:-                (i)  nln(m) = ln(m)n                (ii)  ln(m)-ln(n) = lnmn

Q: Condense the expression to the logarithm of a single quantity. log7(z - 6)

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Q: Find the solution of the exponential equation e2a +1 = 6 in terms of logarithms, or correct to four…

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Q: Write the expression as a logarithm of a single quantity.…

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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: ‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒ Condense the expression to the logarithm of a single quantity. - log,(z - 6)

A: Solved below

Q: Your friend claims you can use  the change-of-base to write the expression (ln x) as a common…

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Q: 1. Explain why log a ⁡ a x = x. 2. What is the difference between a common logarithm and a natural…

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Q: 3 In e² 8. |

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Q: 25. 2-3 %3D 1/8

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

A: Given:            3 ln 2+2 ln x-12 lnx+4 Apply log rule: a logcb= logcba          3 ln 2=ln 232 ln…

Q: Condense the expression to the logarithm of a single quantity. 1/2[4 ln(x + 7) + ln(x) − ln(x4 −…

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Q: Explain why the logarithm of 1 with base b is 0?

A: We have to prove that logb1=0 We know that a0=1 Taking log both sides, logba0=logb10 logba=logb1…

Q: Rewrite the equation y = 4.5(0.6)x in terms of base e.Express the answer in terms of a natural…

A: Our Aim is to re-write the equation y=4.5(0.6)x-(i) in terms of base e and to express the answer in…

Q: Use the Laws of Logarithms to expand the expression. ln (r/2s)

A: Given: To Find: To use the Laws of Logarithms to expand the expression.

Q: Use the Laws of Logarithms to combine the expression. In(a + b) + In(a – b) – 5 In(c)

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Q: What is the exact solution to the equation 10" = 97? Enter your answer in the box. x = log

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