Using properties of logarithms, log xy can be written as ......... Select one: 1 글 logx + logy a. 3 b. 글log/xy c. 3logx + 3logx

Q: Use the definition of logarithms to completely simplify. log, (v3)

A: The given logarithmic function is  log33. Solution:  Rule of Logarithms, logabn = nlogab…

Q: Write the logarithm in expanded form. 3z log, 어(플)

A: The given expression is log73z2.

Q: Explain why. a) log(100000) = 5 b) log,( – 16) = undefined

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Q: State the four algebraic properties of the natural logarithm function.

A: Algebraic properties of a natural logarithmic function - (1) ln1 = 0(2) lnab = lna+lnb

Q: What is the value of log, 243?

A: We know that, from the logarithmic property logabc=clogab        ⋯⋯1logdd=1                    ⋯⋯2

Q: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

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Q: Suppose log, 2 = 5 and log, 3 = 8, find: a) log, 18 b) loga i 4

A: we know that  log ab = log a + log b  log a/b = log a - log b  log ab = b log a

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

A: Assume that x, y, and d are positive numbers. Use the properties of logarithims to write the…

Q: What is the value of log, 64?

A: Given log264

Q: What is the value of log, 343?

A: logabn=n×logab And,  logaa=1.

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: What is the value of log, 729?

A: We have to find the value of expression…

Q: What is the value of log, 256?

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Q: Use the properties of logarithms to verify the equation. -In(24) - -(3 In(2) + In(3) -In(22. -In(24)…

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Q: What is the value of x in logx > 2log4?

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Q: Write the expression as the logarithm of a single quantity. In(4) + - In(x + 4) – 3 In(1 + Vx)

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Q: State the expression log in terms of individual logarithms of x, y and z.

A: Given log z54x2y7

Q: What is the value of log, 81?

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Q: Express as a single logarithm. 2 log 9- log br

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Write the expression as a single logarithm with coefficient 1. log(x – 5) + 3 log(2x + 1) – 2 log(x)

A: properties of logarithms are alogcb=logcba logca+logcb=logcab logca-logcb=logcab

Q: Use the definition of the logarithmic function to find x. log-() = x

A: This question (question 3) is based on the concept of logarithm and its properties. log7 (1/49)=x If…

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: Differentiate: y=6x * log6x (Hint: simply your answer as much as possible. Use logNM=lnM/lnN, if…

A: Given: y=6x * log6x

Q: The correct expresssion for log is.. . x+8

A: Given the expression is log x4x+8 To simplify the given expression:-

Q: Write expression log(x7y17/z19) as a sum or difference of logarithms with no exponents. Simplify…

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Q: Is it log or ln that should be used?

A: You are right. There was a mistake from our end.  Here is the correct explanation: y=x3x Take ln on…

Q: Express as a difference of logarithms. a log-

A: Property of logarithm: log(m/n) = log(m) - log(n)

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

A: Given: Let y=2ln x-lnx+1-lnx-1 To Find: To write the given expression as a logarithm of a single…

Q: What is the domain of ƒ1x2= logb x2? What is the range of ƒ1x2= logb x2?

A: Given: fx=logbx2 we know that domain of logx is x greater than zero similarly, domain of given…

Q: Explain why the log (-1) does not exist.

A: You need to have the idea of domain in order to get the answer of this question.

Q: Evaluate: log,36²/3 given than log636 = 2

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Q: Which expression is equivalent to log, 2?

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Q: What is the value of log, 16?

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Q: Solve. log, x + logo (x + 5) = 2 O x = -4, x = 9 O x = 4 O x = 9 O x = 4, x = -9

A: Use the properties of lograthim and form the equation into quadratic than Factories to solve.

Q: Express as a single logarithm and if possible simplify

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Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: We have to Answer only Question (2) as stated. We know that,

Q: Write the logarithm in expanded form. log3((x®y)®)

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Q: Use the Lavws of Logarithms to evaluate the expression. log;(V2)

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Q: What is the value of log, 512?

A: We use logarithmic property i.e. Logabn=nLogab

Q: Express as a sum of logarithms. log g(18-12)- og 9(18 - 12) Enter your answer in the answer box.

A: Answer and explanation is given below..

Q: How would you describe log, (2-x) for x=5? Why?

A: Given: log7(2-x)

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

A: log32=x

Q: The logarithm of a quotient of two numbers is th

A: The objective is to solve the given problem

Q: Change the logarithmic statement to an equivalent statement involving an exponent. ln 4 = x

A: Since, we have to change the logarithmic statement ln 4=x into an equivalent statement involving an…

Q: Express as a single logarithm and if possible simplify

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Q: Write log, t as a base 2 logarithm.

A: Let us assume log7 (t) = p  If logb a = c, then  bc=a we have a =t, b=7 and c=p Thus, 7p = t  ...(i)

Q: For Exercise, simplify the expression without using a calculator. logy51

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