Use logarithm rules to rewrite the quantity:Use logarithm rules to rewrite the quantity 2 ln(x2) + 3 ln(√x) − 2 ln( 3√x)  as a single logarithm. Simplify the inside of the logarithm as much as possible

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

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Q: Use the properties of logarithms to rewrite the expressions in terms of r, s, and t, where r = In a,…

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Q: Use the Laws of Logarithms to expand the expression. log(V +y)

A: Recall:(Laws of Logarithm) logam+logan=logamn logam-logan=logamn logamn=nlogam

Q: Solve for t using a logarithm with base a. 3a2 = 5 %3D t D |

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Q: Use common logarithms to solve for x in terms of y

A: Consider the given function as

Q: Rewrite the following using exponential form. Then find the solution for x. a. log, 36 = x b. -3 =…

A: We know that a.

Q: Use logarithms to solve for x a. 9 e2x+1-18=63 b. 2 e4x-7+4=20

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Q: Rewrite the expression as a single logarithm. ln(x − 10) + 1/2 ln x − 2 ln x

A: Here we will Use the following properties of logarithm.  (1) a logx = log xa (2) log x - log y = log…

Q: Write the expression as a sum and/or difference of logarithms. Express 1/5 x² -x-2 In , x> 2 (x+ 4)2

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Q: Solve for x by converting the logarithmic equation to exponential form.   log(x)=4   Enter the…

A: When ax = N  then x = logaN where a = base of logarithm and N is the positive number not equal to 1…

Q: Find the Domain of the following exponential and logarithmic equations and solve them: log, x+10…

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Q: Use the properties of logarithms to expand the expression as a sum, difference, or a constant…

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Q: Solve for x: log, (3x + 10) = 2 Write log, (3x + 10) = 2 in exponential form. Find the value of x. x…

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Q: use logarithms to solve the equation for t  1/5 e^-4t =0.9

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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: What is the value of x in logx 27 = - 3? A. - В. 3 С. 9 D. 81

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Q: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

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Q: Solve for x. (If necessary, enter your answers as a comma-separated list.) logg (x²30) = logg x

A: We can answer the question as below by finding the value of 'x'.

Q: Solve the logarithmic equation: log , (8x + 9) – log, (x – 4) = 2.

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Q: Write the log equation as an exponential equation. You do not need to solve for x. 1 log (7+3) (8)

A: logx+38=12

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

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Q: Use the Laws of Logarithms to combine the expression. loga(b) + c loga(d) − t loga(u)

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

A: We have to simplify

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

A: Some properties of logarithm are: multiplication property: log (x y) = log x + log y division…

Q: Express the ratios in Exercise as ratios of natural logarithms and simplify.

A: We know that, logbx=logxlogblogxn=nlogx We solve the given problems using these results.

Q: Solve the equations: log, x-log, (x+42)=0 x(5*)+log 3(5*)=0 3. a) b)

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Q: Solve the logarithmic equation: log, (x + 6) + log,(x + 2) = 1

A: Definition used -                           logam+logan =loga(mn)                           If…

Q: Use the Laws of Logarithms to combine the expression. loga b + + c loga d - r loga s

A: Following properties of logarithms will be used. The exponent property xlogay=logayx. The sum…

Q: For Exercise. write the logarithmic expression as a single logarithm with coefficient 1, and…

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Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

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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 the properties of logarithms to expand the expression: ln((x)/(x^(2)-9))

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: 100 Vx Expand and simplify log as much as possible. (y-2)6

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Q: Solve for x the equation 2 x b4 logbx = 486

A: Given Solve for x the equation 2 x b4 logbx = 486

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: Equation in logarithmic form: log(q) = t Equation in exponential form =?

Q: Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) 74x + 1 = 2x − 4 x =    (the…

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: Logarithm function is defined as, For x>0, a>0, a not equal to 1, if and only if,

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: (1 logr - 2 4

A: Problem is related to logrithmic properties

Q: Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) 5x − 18 = 1 x =

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Q: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

A: 6log2a-4log2b+23log2c

Q: Use the Laws of Logarithms to combine the expression. loga(b) + c loga(d) - v loga(w)

A: Topic : Logarithmic

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: Given,         logr=n

Q: Use the Laws of Logarithms to expand the expression. ln (r/2s)

A: Given: To Find: To use the Laws of Logarithms to expand the expression.

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: Use logarithms to solve. e2x – ex – 90 = 0 %3D -

A: Solve: e2x - ex -90=0

Q: Solve the logarithmic equation for x. log,(x + 3) - log,(x-3) - 2

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