4x3 - log y^(x = 1)°

Q: Use the properties of logarithms to expand the logarithmic expression.

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Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

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Q: Express ln( 6x^4 ) − ln( 3x ) as a single logarithm and simplify as much as possible.

A: Explanation of the solution is given below..

Q: Which function will have the fastest decrease in they-values?A. y = -1/3 logx 8. y =-2 logxC. y…

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Q: Solve for x: log(5x + 45) – logx = 1

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: express as sum of logarithms log4(14*22)

A: Here we use the product rule for the logarithms function:

Q: Expand the logarithmic expression. 2x4 In y7

A: According to the natural logarithm quotient rule, . According to the natural logarithm product rule,…

Q: The Quotient (log4x)/(log2x) has a constant value.What is the Value?

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Q: Solve y = log5 x

A: Our Aim is to solve y=log5 (x) -(i)

Q: Differentiate the Logarithmic function: y = 3 ln square root of x

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Q: Solve for 2x- 1 bl log4 (10-2)-0

A: (a) e2x-1 = 7 Taking log on both sides Ln (e2x-1) = Ln 7 (2x - 1) Ln (e ) = Ln 7.        { Ln ab = b…

Q: Write as a single logarithm: In(x – 1) +2 ln(3x + 1) + In (x² + 9) – 2 ln 3 – In æ 2 3 In 2 – - |

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Q: Expand log(sqrt x^5*y^-10)

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Q: Expand: logb(x3√y).

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Q: Write ln 5 + 2 ln 3 as a single logarithm.

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Q: Differentiate: 4. y = 6* log7 x

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Q: Find the value of x if log5 (x+ 2) = 2

A: Given log5(x+2)=2(x+2) = 52x+2 = 25x = 25-2x = 23

Q: Find the exact value of each expression without using a calculator by using properties of…

A: Required properties of logarithm: logam-logan=logamn logaab=b logab=logbloga

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: Choose the exponential form of the logarithmic equation log3 (7x + 6) = 3. %3| O 33 = (7x + 6)° O…

A: Option c is correct.

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

A: We need to find log value.

Q: Convert from exponential to logarithmic form. ex = 4

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Q: 4. loga dx %3D

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Q: Find the approximate of log 0.077

A: We need to evaluate the approximate value of the following quantity log0.077

Q: log2x+log2(x+4)=3 x=

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Q: between which two consecutive integers does log2 75 lie

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Q: log4(x)-2logx(4)=1

A: log4x-2logx4=1

Q: Solve y = log4 x

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

Q: log,(2x+6)-log4lx-1)=1

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Q: Express as a single logarithm and if possible simplify

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Q: logx =1,000,000x

A: Given the equation  we need to solve the above 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: What value of x makes the equation log, (2x + 1) + log,(x - 3) = 2 true? %3D

A: we need to find the value of x that satisfies the given equation

Q: y = log2vx

A: Given, y=log2x

Q: Solve for x: log x + log(x + 5) = 6

A: Consider the given equation logx+logx+5=6

Q: Show that 3 logVx + 2 log x –; logx = 3 log x 2

A: Given equation is  3logx+2logx-12logx=3logx

Q: Solve for x: 4 log3 x = 7

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Q: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

Q: Solve: log10x + log(x + 9) = 1

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Q: Differentiate y=3*log*

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Q: log(x-1)=2+2logx 5.

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Q: Write the expression 4lnx-In(y+3) as a single logarithm. 2 Select one: Vy+3 In - In /y+3 4x Зу+6

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

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

Q: Value of log2 32+ log₂ 16, will be.

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Q: solve, log(x)+log(x+1)=2 . please show work.

A: using the  formula logm+logn=logmn

Q: How can I diffefentiate this logarithmically?

A: y= (sinx)x [Given] log (y) = log (sinx)x