Given a, b, r, and s, are real numbers such that and 2ª = r ? 2³ = = S . Which is equivalent to log₂ (rs) a+b

Q: a. log i'

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Q: Solve for æ : log, x = 4 4

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Q: Given that logb √w = 7, and log x= -6, 1096 y = -9

A: Given query is to find value of indicated expression.

Q: QUESTION 4 Simplify log 8*+ 1 a. 8 b. C. d. x +1 a) b) c) d) МacВook Air OOOO

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Q: Express as a single logarithm and, if possible, simplify. In x6 - 3 In ³√x5 In x6 -3 In √x5=…

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Q: If log, = 3 then 3D3 then O z=8 I = 27 O x = 125 =64 x = 216

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Q: asb b? =In 2. %3D (3

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Q: 9) Write each logarithmic equation in exponential form: b. In(125) =x b. 5= log , 243 d. lbg, 2= 3

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Q: Is log 3/4(1234) positive, negative, or zero?

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Q: Write the following logarithmic statements in exponential form. 1. loga(32) = · 2. log10(y) = 4 3.…

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Q: . Use the change-of-base formula to write (log, 5)(logs 9) as a single logarithm.

A: For natural logarithms the base is e. This is the most commonly used base for logarithm. Another…

Q: Which of these equations represents a solution to log, r = 2? 2x 8 8x 2

A: Given: log8x=2

Q: x7 y4 16) log 2

A: We have to expand the logarithm

Q: Please use the Problem & SoLution organizer to solve the properties of lLogarithms to condense the…

A: log3u-5log3v              =log3u-log3v5                   By Power Rule     ⇒w logb…

Q: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

Q: 3. 5 log „z+2 log „x- log „y-5 log „a

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Q: 1. Complete each of the sentences. a) The inverse of y 4 is b) Rewrite log k 2x in exponential form:…

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Q: The logarithmic form of a'=b is log, a = b O log,b a O log, 7 a O log, b 7 9. Olog, a

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Q: If A = B, then logA B =

A: INTRODUCTION:  The logarithm is the inverse characteristic to exponentiation. That way the logarithm…

Q: What is the value of (log 5 to the base 2) + (log 5 to the base 3)?

A: the value of (log 5 to the base 2) + (log 5 to the base 3) is

Q: Suppose we have the logarithmic function f(x)= 3log2(x+5)-1. a.) Simplify: 7/f(27) b.) What's the…

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Q: Simplify the following logarithms. a) b) log 15' log,85 d) c) log,25 + log,625 Jog3 27

A: We need to simplify the given expressions.  For (a),    log285=log2215Apply log rule:  logaax=x.=15…