Simplify the logarithmic expression without using a calculator. (a) log3 (81) (b) log1/4 (16) (C) log2 (1/64)

Q: Use the properties of logarithms to expand the logarithmic expression. ln(x√x2 + 5)

A:

Q: Use the Laws of Logarithms to expand the expression. log(×-) (x7y2'

A: Property of logarithms: 1. logmn = log(m) - log(n)2.  logmn = log(m) + log(n)3. logmn  = n log(m)

Q: Use properties of logarithms to expand the logarithmic expression  log5  3√(x2y/25) as much as…

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Q: Use the properties of logarithms to expand the logarithmic expression.                 ln√x5

A: To expand the given logarithmic expression by using properties of the logarithms.

Q: 20) Find the exact value of the logarithm without using a calculator. log,64 =

A: The given expression is log464

Q: How is log 763 written in terms of natural logarithms using the change-of-base theorem? The formula…

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Q: 2) Match the logarithmic expressions to equivalent expressions and state the property or process to…

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Q: Use properties of logarithms to expand the logarithmic expression log2 (xy2/ 64) as much as…

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Q: What is an exponential function and a logarithmic function?

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Q: Use the properties of logarithms to expand the logarithmic expression, ln x/4

A: Given  logarithmic expression is lnx4.

Q: Use properties of logarithms to condense the logarithmic expression. 1 (log 4x+ log 4y) - 2 log 4(x+…

A:

Q: Use properties of logarithms to expand the logarithmic expression log 5√(x/y) as much as possible.…

A: Expand log5xy

Q: log, 657

A: Change of base formula: logab=logbloga

Q: Find the exact value of the logarithmic expression without using a calculator. ln (1/square root of…

A: Please see the explanation below

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: Use the properties of logarithms to expand the logarithmic expression     ln[(x2 + 1)(x − 1)]

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Q: How is the graph of loga x related to the graph of ln x? What truth is in the statement that there…

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Q: Condense the expression to the logarithm of a single quantity. 3 log3(x) +log3(y) - 8 log3(z) X

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Q: The change-of-base formula is often used to convert a logarithm to a ratio of logarithms with base…

A: The change of the base formula is often used to convert a logarithm to a ratio of logarithm with…

Q: What are the differences between linear quadratic exponential and logarithmic functions?

A: differences between linear quadratic exponential and logarithmic functions

Q: Use properties of logarithms to expand the logarithmic expression log 3√(x/y) as much as possible.…

A: Given- log3xy To exapnd- The logarithmic expressions and simplify it. Formula used- log mn=n…

Q: log(x + 25) = log(x + 10) + log(4)

A:

Q: b) 4 log(x – 2) – 3 log( 5x + 1)

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Q: slove for x by converting the logarithmic equation to exponential form log7(x)=-3 x=

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Q: Use the laws of logarithms to simplify the expression. ln (x2)/ x1/2(1+x)3

A: Given,            lnx2x1/21+x3

Q: Use properties of logarithms to expand the logarithmic expression ln (e4/8) as much as possible.…

A: Given: lne48

Q: hange the logarithmic equation to an equivalent equation involving an exponent. log 216 = 4

A:

Q: Use properties of logarithms to evaluate the expression. log(0.01)^5

A: The given expression is,

Q: Condense the expression to the logarithm of a single quantity. log7(z - 6)

A:

Q: Solve the logarithmic equation for the unknown x. log5(x + 5) – log5(x – 5) = 2 %3D

A: Given,         log5x+5-log5x-5=2

Q: Use the properties of logarithms to expand the logarithmic expression. ln(3e2)

A: The given expression is ln3e2.

Q: Use the properties of logarithms to condense the expression to a single logarithm. 2 log (x) + 5 log…

A: Given : 2logx + 5logx+3

Q: Evaluate log1.6 using a calculator. Round your answer to three decimal places.

A: I have Provided this answer i Step-2.

Q: How is the graph of logax related to the graph of ln x? What truth is in the statement that there is…

A: To show the graph of logax related to the graph of lnx, let provide some notes on the function ax…

Q: Use the definition of a logarithmic function to write the logarithmic equation as an equation…

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Q: What is the value (if any) of the following? log x as x--> 0+  log x-->

A: We first graph y=log x

Q: Condense the logarithmic expression. 3 ln x-1/4 ln y

A:

Q: Use properties of logarithms to expand the logarithmic expression logb(x2y/z2) as much as possible.…

A: Given :           logbx2yz2

Q: 1. Explain why log a ⁡ a x = x. 2. What is the difference between a common logarithm and a natural…

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Q: 3 In e² 8. |

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Q: 3. Solve the logarithm equation: log4(x + 8) + log4(x + 2) = 2

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Q: Use the properties of natural logarithms to simplify the expression. eln(3)

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Q: 2. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much…

A: Using logarithmic identities we can solve for the given statements

Q: Use properties of logarithms to expand the logarithmic expression ln 3√(x/e) much as possible. Where…

A: Evaluate lnxe3 as follows: lnxe3=lnxe13               =13lnxe               =13lnx-lne…

Q: Use properties of logarithms to expand the logarithmic expression ln [x3√(x2 + 1)/ (x + 1)4] much as…

A: Consider the provided expression, lnx3x2+1x+14 Use properties of logarithms to expand the…

Q: Determine the value of the logarithm: LOG2(0.521)

A: Given log

Q: Use properties of logarithms to condense into a single logarithm.  2log2 x - log2 (x+1) + log2…

A: Given : 2log2x - log2x + 1 + log2x - 1