Solve the logarithmic equation 3log2(x - 1) = 5 - log24. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.

Q: Solve for æ: log(x + 2) – log(x + 1) = 1 You may enter the exact value or round to 4 decimal places.

A: here we will solve for x,

Q: Solve for x: log(x + 4) – log(x + 2) = 2 x = You may enter the exact value or round to 4 decimal…

A: →If nothing is said about base of log then take it as 10.→logm - logn = logmn→logax = b then, x = ab

Q: Solve for x. 0=log (base 5)x

A:

Q: log10(2x- 4) = 1+ log10 4, then 'x' is equal to ...............

A: We have to find x

Q: If log, (4x + 4) = 1, then x = You may enter the exact value or round to 4 decimal places.

A: Find x such that  log24x+4=1,    Apply log property logab=1 if a=b. Therefore, log24x+4=1 when…

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. log x =…

A: The graphing device helps to find the solution of the given equation. Substitution of the given…

Q: Solve for : log(x + 5) – log(x + 2) = 2

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Q: Solve for r: log(z) + log(x + 2) = 9 You may enter the exact value or round to 4 decimal places.

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Q: Solve the equation for x: log20 x + log20 (x – 1) = 1. -

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Q: If log2 (6x + 6) = 4, then x = You may enter the exact value or round to 4 decimal places.

A: We have to find the value of x.

Q: Solve for x: log(x + 5) – log(x + 4) = 2 You may enter the exact value or round to 4 decimal places.

A: Given that  log(x + 5) - log( x + 4) = 2  We need to solve this equation for x.   As we know that…

Q: Solve for x: log(x + 5) – log(x + 4) = 1 x = You may enter the exact value or round to 4 decimal…

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Q: The Logarithms Of The Quotient And The Product Of Two Numbers Are 0.352182518 And 1.556302501,…

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Q: Can a negative number belong to the solution set of a logarithmic equation?

A: Given statement : Can a negative number belong to the solution set of a logarithmic equation?…

Q: Solve for x: log(x + 2) – log(x + 1) = 1 x = You may enter the exact value or round to 4 decimal…

A: log(a)-log(b)=log(a/b) If log m=n m=10n

Q: Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.…

A: Given that the equation is log2x-3+log2x-log2x+2=2.

Q: The homework question asks to Solve the logarithmic equation algebraically, which im having…

A: Solving the logarithmic equation algebraically:log2(x+20)- log2(x+2) = log2 (x+2) = log2 xAccording…

Q: Solve the logarithmic equation for x. log(3x + 5) = 2

A: To Determine:

Q: solve 5^x+5 = 9^x  using logarithmic function round to 3 decimal places

A: 5x + 5 = 9x taking log both side:-

Q: Express in terms of logarithms of x, y, z, or w.

A: The given expression is logax3wy2z4

Q: Solve for x log(x +4) = 1

A: The value of x needs to be evaluated for the following function logx+4 = 1

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

A: Our Aim is to solve for x if log3(x)=-2 -(i)

Q: Solve the equation for x: log30x+log30(x−1)=1

A: Given :   To solve for x.

Q: solve for x log(x) + log(x+2)=7 You may enter the exact value or round to 4 decimal places.

A: Formula  log(mn) = log m + log n If log is written directly , we assume that it has base of 10.

Q: Solve y = log4 x

A: The given expression is a logarithmic function hence log function properties help to find the…

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

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Q: Solve the following logarithmic equation: log2 (x – 3) + log2 x – log2 (x + 2) = 2. - -

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Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places..³- - x =…

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Q: 5. Solve the equation log(x +2)=1- log(x – 1). Identify any extraneous roots.

A: Solution

Q: Find all positive values of 'a' for which the equation log (ax) = 2 log (x + 1) has the unique root.

A:

Q: when expressed as a single logarithm: ln(y + 2) - (2ln6 + ln x) becomes

A: We make the coefficient into an exponent

Q: Use logarithms to solve. e2x – ex – 56 = 0 - -

A: Given: e2x-ex-56=0. To find: The solution of given equation.

Q: Solve for : log(x + 5) – log(x + 4) = 2 You may enter the exact value or round to 4 decimal places.

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Q: If log(x – 3) = log(3x – 9), then æ = DNE

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Q: Solve for x: given log(17x – 3) – log æ = 1 -

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Q: Solve for x. log 3 = log (x+ 5) – log 12

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Q: log 28x 2. log 2x

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Q: solve for x  log(x+4) - log(x+1)=1 You may enter the exact value or round to 4 decimal places.

A:

Q: The logarithmic equationb log, 3 = c, where a > 1, expressed in exponential form could be

A: Consider the logarithmic equation  bloga3=c              , a>1

Q: 7)Solve for x when log 10x - 2 = log 400 a) 40 b) 400 c) 4000 d) 40000

A: given  log1010x-2=log10400 log1010x=log10400+2log1010x=log10400+log10102…

Q: Solve for x: log(x) + log(x + 4) = 3

A: By using logarithm property and using quadratic formula, we calculate the value of 'x'.

Q: Solve the logarithmic equation for log x + log(x–1) = log(4x)

A: Given, log(x)+log(x-1)=log(4x) By applying the log rule, loga+logb=logab ⇒log x(x-1)=log…

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: Solve the logarithmic equation for x. 2 log x = log 2 + log(3x - 4)

A: Given 2 log x = log 2 + log(3x - 4)

Q: Differentiate y = - using Logarithmic differentitation. A x2x' +1

A: Given;  y=ecosx^2/[pi x sqrt(2x3+1)].

Q: Solve for x given: log2(x + 7) − log2(2x) = 3

A: The given logarithmic function is log2(x+7)-log2(2x)=3

Q: Solve for x 5 log(x + 4) = 10

A:

Q: Express single logarithm: log; x + 2 log, y – 3 log; z as a

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Q: solve, g(x)=-3(1/5)x + 2 where g(x)= 0(using log may be) leave it in exact form not decimal.

A: Given that g(x)=0 So we will plug g(x)=0 and solve for x