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Q: Evaluate the expression without using a calculator: log6√6

A: Logarithmic properties: logk(k) = 1 logn(n) = 1 log(xn) = n*log(x)

Q: Change the exponential statement to an equivalent statement involving a logarithm. a3 =2.1

A: It is known that exponential functions and logarithmic functions are inverse functions. So, this…

Q: Use the law of logarithms to combine the following expression 3logx+8log(1+x)

A:

Q: Find the exact value of each logarithm without using a calculator. log1/2 16

A:

Q: Find the exact value of each logarithm without using a calculator.;log1/3 9

A: The given expression is, log139 9 can be written as 9=32 1/3 can be written as 13=3-1 Using the…

Q: Evaluate the expression without using a calculator :log3 27

A:

Q: Use the properties of logarithms to condense each expression to a single logarithm

A: Consider the given expression.

Q: Find the common logarithm without using your calculator. log10^642.8

A:

Q: 2 In x - In y + 1 5

A: we know that logarithmic properties :  1 ). ln ( a • b ) =ln ( a ) + ln ( b )  2 )  ln ( a n ) = n…

Q: Evaluate the expression without using a calculator: log61/6

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Q: Evaluate the expression without using a calculator. log27 1/9

A:

Q: Evaluate/simplify each of the following log93

A:

Q: Use the Laws of Logarithms to expand the expression. log5 4st

A: log54st

Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much…

A:

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Evaluate the expression without using a calculator. log2 1623

A: log21623

Q: Evaluate the expression without using a calculator: log819

A:

Q: Evaluate the expression without using a calculator. log8 1

A: We have to evaluate the expression: log81 We know the properties of logarithm, logaa=1loga1=0

Q: Evaluate the expression without using a calculator: log5 57

A: Given The expression is log5 57 .

Q: Evaluate the expression without using a calculator. log7 1

A: To evaluate: log71 Solution: We know that logba=logalogb Therefore, given expression can be written…

Q: 200 log 1000bx – log-

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Q: Evaluate the expression without using a calculator. log3 81

A: Given: log381

Q: . Evaluate each logarithm without using a calculator log4 64

A: Given, To evaluate log4 64

Q: Write the following expression as a single logarithm and simplify as much as possible…

A:

Q: Use the Laws of Logarithms to combine the expression. In(a + b) + In(a - b) - 2 In c

A: To combine the expression ln(a + b) + ln(a - b) - 2 ln c using laws of logarithms.

Q: Evaluate the expression without using a calculator. log5 √5

A: We Can write it as log5 512

Q: Evaluate the expression without using a calculator: log31/9

A: Given:log3 19

Q: Use the Laws of Logarithms to combine the expression. 2log x– 3 log(x+1)

A:

Q: Evaluate using the change of base formula (without a calculator).

A: To calculate the given equation

Q: Evaluate the expression without using a calculator. log 2 (log 55)

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Q: 4 - log3 (3x - 1) - 2 log3 3x

A:

Q: Evaluate the expression without using a calculator. loga

A:

Q: Evaluate the expression without using a calculator: log31/√3

A: the given expression is: log313 we have to evaluate the given expression.

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Evaluate the expression without using a calculator: log41

A: To evaluate the expression log41.

Q: Evaluate each logarithm without using a calculator. log2 1/16

A: We have to calculate the given logarithms without using calculator. We will use here following…

Q: Evaluate the expression without using a calculator: log61

A: To find the value of log61

Q: Evaluate the expression without using a calculator. log 0.000001

A: To evaluate the expression without using calculator. log 0.000001 Solution: Properties of logarithm…

Q: Use the Lavws of Logarithms to evaluate the expression. log;(V2)

A:

Q: Find the exact value of each logarithm without using a calculator. log1/3 9

A: Consider the given expression as log139

Q: Evaluate the expression without using a calculator: log5 1/5

A: Given: The expression log515 To find: The value of the given expression.

Q: Evaluate each logarithm without using a calculator log3 27

A: log327

Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible. 1)…

A: I have stated the used formulas in the right side of the solution

Q: Rewrite the following as an exponential log 100,000 = 5

A:

Q: Evaluate the expression without using a calculator: log55

A: Given expression: log55 Recall the expression for base change formula logab=logcblogca Here, a=5,…

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Rewrite the following in logarithmic form: 10-4= .0001

A: Using properties of logarithm  1).   log mn = n log m

Q: Change the exponential statement to an equivalent statement involving a logarithm. 2x = 7.2

A: Given exponential function - 2x = 7.2Taking logarithm on both sides - log2x = log7.2xlog2 = log7.2…

Q: use the properties of logarithms to rewrite the expression as 3 separate logarithms : log3…

A: Please refer the attached image for complete solution.