Without using your calculator (i.e. show your working), find the value of x: (a) log, 16 = x (b) log10 Vx = ; (c) log3(4x + 1) = 4

Q: Given that log x= 4 and log y = 1.5 , find the value of log (x²y)

A:

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

A: Given that 2log3x+4=log39+2.

Q: the other a calculator approximation rounded to two decimal places. (a) log6(x) = -2 X = (b) In(x) =…

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Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

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Q: Find a number E such that log (5z + 1) = 2

A: The solution is given below.

Q: Find the largest value of x that satisfies: loge (2) – log,(r + 1) = 6

A: Use the properties of logarithmic function, to rewrite the given equation.…

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. x3 - x =…

A: Given x3 - x = log(x + 1)

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A: By definition, The logarithmic function y=logax is defined to be equivalent to the exponential…

Q: Solve the logarithmic equation for x. LOG(4x + 1) = 2

A: Taking exponential on both side

Q: Use the Laws of Logarithms to combine the expressior 5 log(x) 4 ! log(x2 + 1) + 5 log(x – 1) -

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Q: Given log x3= 0.4771 and log x7= 0.8451, find value of log x 49/3 ?

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Q: The base of log x is base e true or false?

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Q: If log x y=1/6, which one of the following is true?

A: logxy=1/6 here logxy can be written as logy/logx   now logxy=logy/logx = 1/6   logy = (1/6)logx logy…

Q: What is the solution set for x in the logarithmic equation of log3(x-9) - log3 x=3

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Q: Find the value of what comes log,(x-1)-2 log.(x-1) +loga(x-1)/(x+1)

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Q: 2. Why is it not necessary to know the value of "a" to determine the value of loga(-1)?

A: Given logarithm, loga(-1)

Q: Given y = log3 (3x – 2) , what is -

A: y=log3(3x-2) To find: dydx

Q: Without using your calculator (i.e. show your working), find the value of x: (a) log2 16 = x (b)…

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Q: condense to a single logarithm with a leading coefficient of 1  -log base b(1/2)

A: condense to a single logarithm with a leading coefficient of 1  -log base b(1/2)

Q: condense to a single logarithm with a leading cofficient of 1  In(3)+In (x) + In (y)

A: Given query is to condense to a singl logarithm with a leading cofficient of 1.

Q: 1 What is the value of loge 36 ?

A: we can write by property of                           log6(1/36)= -log6(36)

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

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

A: Given, log4x=-12

Q: Find the largest value of æ that satisfies: log, (a) – log6(x + 2) = 2

A:

Q: In the given question as follows, solve for x.   log3 x = -1 log2 =x - 4

A: We have to solve the equation for x: log3x=-1log2x=-4 We know the property of logarithm,…

Q: 3 log25 x = 2

A: It is logarithms problem.

Q: In the given question as follows, solve for x.   log4 x = -2 log5 x = 3

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

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

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Q: If loga = x and logb-y, then log Vab is equivalent to %3D %3D

A: To find equivalent relation, we will apply basic logarithmic formulas to the given expression.

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A: Given:- g(x)=logb(x)  Evaluate g(x) at x=√b

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value f(x) =…

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Q: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

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Q: If y = loge (2x + 1)'/2 ? and x = 1 y'will be equal to Select one: O a. 1.3

A: The given function is y=loge 2x+112. Obtain the derivative as follows. dydx=ddxloge 2x+112=ddx12loge…

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

A: To Determine:

Q: The solution of the logarithmic equation log z + log(x + 5) = log 24 is 3. 11 O16

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Q: log3 (x + 1) = log, (x + 8) x =?

A: The graph is shown of below:

Q: What would be the value of x in log 2 (5x-2) = 3? %D O x = 1

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

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Q: Use the Laws of Logarithms to expand the quantity.

A: Use the Laws of Logarithms to expand the quantity.

Q: For a logarithmic expression log, x, b cannot be less than 1. True False

A: Please refer the attached image for complete solution.

Q: Use the properties of logarithms to expand the quantity.  ln  x 2   / ( y 3  z 4 )

A: It is given that, lnx2y3z4 Use the properties of logarithms,we have to  expand the quantity.

Q: What is the value of log2 1/4

A: Recall the general formula for logarithm as shown on the white board.

Q: Given that log x=2.5 and log y = 4 , find the value of log (yx)

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Q: find the domain of the logarithmic function f(x)=log2(x-1)

A: Given logarithmic function is,

Q: Use your knowledge of the logarithm properties to condense log(x) + 2 log(5) + 5 log(y) as a single…

A: Our Aim is to condense the following expression log (x)+2 log (5)+5 log (y)as a single logarith with…

Q: If c=log 2, what is log 0.8 in terms of c?

A: