1) log(3x + 4)<2

Q: Solve the following equations and inequalities. 1. log(3x 1) = log(4 - x) 2. log2 r3 log2 (x) 3. In…

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Q: Solve for all values of x log, (x + 9x) = 2 %3D

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Q: Solve the following: 1. 2x/2-16=1/32 2. log8 (x-2) + (log8(x)=1

A: Explanation of the answer is as follows

Q: Solve for x in the following equation: 4.7 = -log(1.76 E -5) + log (x / 0.16)

A: This question is based on properties of logarithm.

Q: Solve the following: 2x-6 = 1            8   log5 (x+3)=1-log5 (x-1)

A: Using definition &amp; rules of logarithm.

Q: Solve the following: 3 log () – (3 +0) = log(10m³n) %3D |

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Solve the following equation:   log 3  x  + log 3  ( x  -  6 )   =  3

A: Given: log3x+log3x-6=3 for solving this equation first we find domain of given equation we know that…

Q: If  x is an integer then solve (log2x)2-logx4 - 32 = 0

A: The given equation is (log2x) 2 -logx4 - 32 = 0

Q: log, 49 = 2/3

A: As per given by the question,  The given logarithmic function is, Logx49=23 Now, Finding the value…

Q: Solve the following equation 2log4 (4x) = log4 (14 x2 + 98) X=5 X=7 X=14 X=2

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Q: Solve the following equations 1. 4x+8= 16x 2. 32x+4*3x-21=0 3. 4-log(3-x)=3

A: 1) Given:       4x+8= 16x       4x+8= 42x       4x+8= 42x Here bases are equal, so power should be…

Q: Solve the following: 1 (1) 2*-6 8 (ii) log,(x+3)=1- log,(x-1) =-

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Q: Solve the following equation: 2logx - log3 = 2 9√/3.7 O-11√2 10√3 O-10√/3.1

A: We can solve the given function.

Q: Solve for t. log 6 t= 2

A: Given query is to find the value of t.

Q: Solve the following logarithmic equations and inequalities: a. log (x + 1) – log, (x – 1) = 2 | b.…

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

Q: Solve the following a). log4(x+2)−log4(x−1)=1 b) log2(x − 1) − log2(x + 3) = log2(1/x)

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Q: Solve the following equation for x. log2 (9x+6)=2+log2(x+3)

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Q: og (x2 + 2x - 8) = 2 + log (x + 4)

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Q: Solve the following equation: log3(3x) = log3 3 + log3(4x − 1).

A: To solve the below equation

Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

Q: Solve the following equation: 2 log x = log(6x + 27) O x= 3 O None of these O x= 9 X = -9

A: We will solve the equation and will find the value of x as following .

Q: A Solve the following (i) 4+e2x = 12 %3D (ii) 3 log (x+4) = -2.2

A: The given equations are I) 4 + e2x =12 II) 3 log(x +4) = - 2.2

Q: 25. Solve for x if log 3 x = -2. A. -6 B. -9 C. 6. D. 1

A: If logax = b then, x = ab.

Q: Solve the following: . Find the solution set for log3 2+2.log, x= log3(7x-3)

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Q: Solve for x and check for any extraneous roots. log (x + 15) + log (x) = 2

A: We have the following logarithm rules: 1) logc(a) + logc(b) = logc(ab) 2) logc(x) = y =&gt; x = cy…

Q: Solve the following equation 2log4 (4x) = log4 (14x2+ 98) X=5 X=14 X=7 X=2

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Q: Solve the following logarithmic equations. a) log2 (x) + log2(x +2) = log2(x + 12). In(x) + In(x -…

A: By Using logarithmic formula

Q: 4. Find all the values of z for which each equation holds. (a) Log(z - 1) = -i.

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Q: Solve the following equation for X log(x+2) + log(x-1)= 1

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Q: The solution of the inequality log(x- 4) > log(10z - 10) is: O z 3.33 OR 0.67 Oa<3.33

A: If loga x&gt; loga y, then x&gt;y for a&gt;1 and x&lt;y for 0&lt;a&lt;1 . Usually log 10 x is…

Q: (a) Solve the following: 1 (i) 2-6 8. (ii) log, (x+3) =1– log,(x–1)

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Q: 6) Solve the following and round to the nearest thousandth. a) log x + log(x – 15) = 2 b) logo(x +…

A: (a) Given: logx+logx-15=2

Q: Solve the following logarithm problem for the positive solution for x. 1 log, = -2 %3D 49

A: x=?

Q: 9

A: We need to solve

Q: 1 log 3 27 |

A: To find : logx127=-34

Q: Solve for x, log 7 (x − 4) + log 7 (x + 2) =1 and state restrictions

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Q: Solve the following logarithmic equation. log(2x - 2)= log(x + 1) + log(4)

A: Given: log2x-2=logx+1+log4 Now by using the logarithmic property, loga+logb=loga·b…

Q: 10) Solve the following. log2 (x + 1) = 3+ log2(x + 2)

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Q: Solve the following a)81-x =4x+2 b) log2 (x - 1) - log2(x + 3)= log2 (1/x) C) 22x +2x- 12 =0

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Q: (a) Solve the following: -1 (i) 2*-6 8 (ii) log, (x+3) = 1– log, (x-1)

A: An equation is a formula that provides the equality of two expressions, by connecting them with the…

Q: 14. Solve the following equations and inequalities. a) b). c) (1 : ¹+x= 27√√3 (2sinx+√3)(√2cosx - 1)…

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Q: solve the following  i).  2x/2-16 = 1/3   II). log8 (x-2) + log8 (x)=1

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Q: solve the following equation. log2(5Vx – 5) + log2(Vx – 1) = 3

A: Given that:   log2(5x-5)+log2(x-1)=3

Q: log, x = 2

A: To solve the given log, convert the log form to exponential form  Lets apply the rule to convert…

Q: Solve the following logarithmic inequalities. 1. log5x 2 3. log273 > x 4. log2(5x + 7) > 5 5.…

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Q: log2x + log,(x + 4) > 5

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Q: Solve the following equation for x. log;(3x+ 2)+ log;(2x + 1) = 2. 1) -2.6263 2) -0.4975 3) 1.4596

A: The given equation is log53x+2+log52x+1=2. The following rules of logarithms are used in solving the…

Q: Solve the following equation 2log (2x)-log(x²+75).

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Q: solve the following 1) 42x-1 =64 2) In 3 - In x - In (x + 5)=0 3) log4 (x + 2) - log4 ( x - 1)=1

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Q: Solve the following equations: (a) log x 2 = log(x + 4) (b) 4 3x−1 = 72x+3

A: (a) We have to solve logx2=logx+4 Use logarithmic property logm=logn⇒m=n Hence,…