If log(7)x=0.4680​, determine the following.     log(7)x^2

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

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Q: If log2 X = 5, what is ln X?

A: topic - logarithmic function

Q: y:b and y logb x (0< 6<1)

A: Questioin is solved.

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

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Q: The graph of the logarithmic function y = log, x can be described as

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Q: 6. Condense the logarithmic expression 2 lnx- In(x* +1).

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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: How can I rewrite this expression as a single logarithm?

A: In this question we will use some basic log rule such as, logba+logbc=logbac logba-logbc=logbac…

Q: Find the value of x. logx 1/1000 = −3

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Q: Without using a calculator, find the exact value of log, 81 – log, 1 log,v 8 – log 0.001

A: To find the exact value of log381-logπ1log228-log0.001. Solution: Properties of logarithm are: 1.…

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

A: Given logarithmic expression is log4xz. To express logarithms in terms of x, y, z or w. Solution: We…

Q: If logx(1 / 8) = -3 / 4, than what is x?

A: Given,

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 – - |

A:

Q: and y logt x (b>1)

A: The red is y=bx and green is y=logbx b=1.2

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

A:

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: In(x + 1))

A:

Q: Compute log3 without using a calculator, where log3(X) = 81 - 1.5

A: Using logarithmic Properties.

Q: Evaluateſ dx xlogxlog(logx)log [log(logx)]

A:

Q: What is the branch point of log(−2)?

A: Given expression is, log-2 Now, at the point z=-2 we can consider the path as a circle of radius R.…

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

A: let y = ln(e23) we know that mn = m1n∴y = ln(e2)13

Q: log3 x = −4

A: log3 x =-4 To solve for x

Q: Use logarithmic properties to write in simpler form. In xy In xy =

A:

Q: Write 5 ln x + 3 ln (x² + 4) – , In (x + 8) single logarithm. as a - -

A: The logarithmic expression is given by 5ln(x) + 3lnx2+4 - 12lnx+8

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: solve for x (use log where is necessary) 22+x=3x

A:

Q: If log(x + 13) + log(x – 13) = The value of æ is

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

A: log4x-2logx4=1

Q: log, (x17 3 ,17

A: Given expression, log3x17 y173

Q: In x

A:

Q: Condense to a single logarithm with a leading coefficient of 1. -logb

A:

Q: If logx^½64 = 3. Find the value of x

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

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Q: In other words, if y = bª, express x in terms of y.

A: given y=bxwe need to express  x in terms of y we use the following property  lnab  =   b lnalogab…

Q: How is loga x defined?

A: The logarithmic function y=logax is defined to be equivalent to the exponential equation x=ay. Here,…

Q: If logax=loga8 Then find the value of x

A: To find the value of x

Q: logx =1,000,000x

A: Given the equation  we need to solve the above equation.

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

A: We make the coefficient into an exponent

Q: Suppose log, 3 = 15 and log, 5 = 22, find: %3D a) log. 9 b) loga 75

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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 logarithmic expression.      ln(xyz)

A: Given: ln xyz To expand: The given logarithmic function.

Q: 2 In x + 3 In y – In z

A:

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

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

Q: How would you describe log, (2-x) for x=5? Why?

A: Given: log7(2-x)

Q: Estimate using the change of base formula.

A: Consider the logarithmic expression log90.2 to evaluate the value of this, use the change of base…

Q: Condense the logarithmic expressions on the image attached.

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: what is the natural logarithm of 1/exy?

A: