Simplify the following expressions down to a single logarithm.

Q: Simplify the following into a single logarithm:2log(5)−1log(x)

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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: Condense the following into a single logarithm } log, 8 – log, (3ª – 8)

A: Answer is given in next step.

Q: Solve the following equation. log8 x = 1/3

A: We firts use the exponential form of log.

Q: Solve the following log equation exactly loga(x)=loga(x2-30)

A: This question is based on properties of Logarithm.

Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

A: using log(mn)=log m-log nhere m=3zand n=11

Q: To evaluate a logarithm to any base, use the ________ formula.

A: To evaluate a logarithm to any base, use the ________ formula.

Q: Simplify the following expression into a single logarithm: (5 +0)logx – (2 +0)log(3x) – log(12x*)

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Q: Evaluate the following logarithms with a calculator: 9. log10 37

A: log1037=?

Q: Condense Conden se into a single logarithm. 4) 6log § x – 31og § y 4.

A: Given 6log8x-3log8y

Q: Solve the following equation. log10 x = 3

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Q: Write the following expression as a sum or difference of logarithms with no exponents. Simplify your…

A: The given expression is: lnz4w13y3

Q: Condense the expression to a single logarithm

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Q: Expand the logarithmic expression log, Show your work and attach (c + 1)3

A: let x = logbbbc+13we know that logaan = nlogaa = nlogab = loga-log(b)

Q: write the following expression as a sum or difference of logarithms with no exponents. Simplify. log…

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Q: Use the change-of-base formula to find the logarithm to four decima log1/8 9

A: The given logarithm is log1/89.

Q: Evaluate the following logarithmic expression without the use of a calculator. Write your answer as…

A: Please refer the attached image for complete solution.

Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

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Q: Find the common logarithm without using your calculator log 1

A: We find value of log 1 =?

Q: Write the following expression as a sum or a difference of simplified logarithms or numbers. 2+1 log…

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

A: we have to evaluate the expression without using the calculator. loga1a

Q: log.(36 x V6)

A: Some properties of logarithmic function logbb=1 log(a b)=log a +log b logab=log a-log b logab=b log…

Q: Find the common logarithm without using your calculator. log 1

A: 1 can be express as 10 to the power 0.

Q: Find the exact value of each logarithm without using a calculator. ln√e

A: The Power Property of logarithm states that if an exponent present within the logarithm, then it can…

Q: Which of the following is equivalent to the expression log

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Q: Calculate the given natural logarithm without using your calculator. In(1)

A: We have to find the natural logarithm of ln(1) without using any calculator . The definition of…

Q: 105x+3 = x2 + 8x %3D

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Q: 3. x²+1 log(- x2-1

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Q: Simplify the following expression 1.log283x

A: log283x

Q: Write the following expression as a single simplified logarithm or as a number. log2 48 log2 3 -…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

A: Given : loga8b63

Q: Write the following expression, 5 log, (x) – log, (3x), where b > 0, as a single logarithm.

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Q: Simplify the following into a single logarithm:5log(8)−4log(x)

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Q: Use the properties of natural logarithms to simplify the expression. In(e) П

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Q: Simplify the following into a single logarithm:2log(8) + 2log(x)

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Q: Write the following expression as a logarithm of a single quantity, and simplify when 3 4 possible:…

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Q: Convert to a logarithmic equation: z =²

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Q: Rewrite the following log equation in exponential form: 5.9=ln(x/17)

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Q: logs x + log1

A: The given expression is log5x+log151x

Q: Evaluate the following expressions without using b) log (0.1) 1. a calculator. a) log; (81)

A: The answer is found in step-2

Q: Write the logarithmic expression as a single logarithm with coefficient 1,

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Q: The following logarithmic expression, log2 (4), when completely simplified becomes

A: Given, log2 4x

Q: Solve the logarithmic equation: log, (x + 1) + log, (x – 1) = 2. Round to the nearest tenth if…

A: Given logarithmic equation is log5x+1+log5x-1=2

Q: Write the following equations in logarithmic form:  e^y=x

A: Formula: logeex=x

Q: 4 log a + y log

A: 4 log a +y  log c To condense the given express we apply logarithmic properties m log (a) = log…

Q: Find the following logarithm. log_4(1)

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Q: Simplify the following into a single logarithm: 3 log(2) + 1 log(x) =

A: Given that  3log(2)+1log(x)

Q: logs(2x-8) = log5(4x-10). ...

A: loga(x) =loga(y) this impies x=y