The least value of the expression 2log10x – logx(0.01), for x > 1, is- (A) 10 C) –0.01 (В) 2 (D) None of these

Q: Solve for x using sci notation x=log(y^5) ; if (log y) = 1.2 x 10^-4

A: We have to find value of x by using scientific notation.

Q: Differentiate log(x² + 1)². O (x2 + 1) ln 10 4x O 4x(x² + 1) ln 10 O 2x(x² + 1) ln 10 4(x2 + 1) In…

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Q: Solve log,x + log2(x – 2) = 3, for x > 2. %3D

A: According to guidline, 1st are solved

Q: 5. Solve for x using log properties: log3 (x) + log3(2x – 3) = 2 |

A: Consider the given logarithmic equation, log3x+log32x-3=2 use the logarithmic property,…

Q: 16. Use properties of logarithms to expand log (²₁¹). t14

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Q: The simplified form of In(÷-) using logarithmic rule is yz 4ln x+ In y- In z 4 In x- In y-In z 4ln…

A: The objective is to simplify the given expression using logarithmic rule. The given expression is

Q: Find the value of x satisfying log,, (2×+x– 41)=x (1 – log1,5).

A: It is given that, log10(2x+x-41)=x(1-log105)   Here logarithmic properties are going to be useful to…

Q: (b) For what value of x is log₂ (x+1)-log₂ (x-1)=3?

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Q: 4. If log,v=log,x - (2logby +logbz) , what is the value of v?

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Q: single, simplified logarithm Express as a 1- (log510 + 2log53)

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Q: log(x) is the exponent to which the base 10 must be raised to get ---Select--- ♥ So we can complete…

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Q: What is the zero o of the funcHon Y= loge (x+G)-I?

A: Given: The function, y=logxx+6-1.

Q: 101. Show that log,(x + V – 1) + log.(x - Vr - 1) = 0.

A: To show: loga(x+x2-1)+loga(x-x2-1)=0 Solution: loga(x+x2-1)+loga(x-x2-1)=0 Considering, Left Hand…

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

Q: Estimate the error in the value log 2.7 obtained from the following dată.

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Q: If f(x) = 1- log5 , then f-¹(x) =

A: Given that a function f(x)= 1 - log5x and we find f-1(x) .   Here i attached the solution of this…

Q: What is the Domain of f(X) = log3X?

A: We have to find the domain of the function  f(x) = log3 x

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

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

A: According to the properties of logarithm, we have the following: log(A·B)=log(A)+log(B)       and…

Q: If H(x) = logb 1/x, show that H(b-1/z)= 1/z

A: H(x)=logb1x, we have to show that Hb-1z=1z

Q: a. find x from the equation log2 x=2 b. find x from the eqaution logx 3=2

A: Given, a. find x from the equation log2 x=2 b. find x from the eqaution logx 3=2

Q: The solution of log-(9+ x) = 2log7 8 is O x = 73 O x = -55 O x = 16 O a = 55 O x = -1

A: Logarithmic functions.

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

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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: What will the coefficient (x – 1)² in the expansion of loge x about x = 1 ? %3D

A: Introduction :

Q: Does the function f(x)- logarithm of x with the base of 4 approach a certain real number as the…

A: Consider the given function as fx=log4x.

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: Find the domain of the function. f(x) = 3 - 2 log4 (x/2 - 5)

A: Given function is: f(x) = 3 - 2 log4 (x/2 - 5) We have to find the domain of this function.

Q: 11. If Log(3) = 0.4771 and Log(2)=0.3010, compute Log(√3456) without using a calculator.

A: Given:-log(3)=0.4771log(2)=0.3010using properties of loglog mn=nlogmlogm·n=logm+logn

Q: Find the largest value of x that satisfies: log6 (x2)-log6(x+1)=6 x=_________

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Q: Expand the log by using the properties of log.

A: The given log function is,

Q: b- find x for following 1. logx = v2

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Q: 3. Solve forx: log x + log (2x/5) -6

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Q: Solve for using the definition of logarithm: (logx+29)- 2=0

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Q: if m=log10 n, what other relationship exists between m, 10, and n?

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Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

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Q: Use the power rule to expand the logarithmic expression: ln 3√x

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Q: -10 log x²

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Q: 4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

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Q: What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³

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Q: Solve for xx in terms of k. log3x+log3(x+6)=k x= Find x if k=7

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Q: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

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Q: 2. Evaluate [log(-1-1)(-2- j2)] cosh- tan(4 + 3i)

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Q: 6. Use log, 10 3.322 and log 8s 0.903 to approximate the value of the expression. log, 100

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Q: The number of positive integers satisfying x + log10 (2* + 1) x log105 + logi06 is ..

A: Introduction :

Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

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Q: graph 3 points for G(x)=log3(x-4)+1 and show work

A: We have to find

Q: Use the interpolation method to find log10 1044 from the following data: x = 1000 (10) 1050, y =…

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

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

A: