Solve the problems using logarithmic models. 10. Astronomy The difference between the apparent magnitude (brightness) m of a star and its absolute magnitude M is given by the formula m – M = 5 log, where d is d the distance of the star from the Earth, measured in parsecs. Find the distance d of the star Rho Oph from Earth, where Rho Oph has an apparent magnitude of 5.0 and an absolute magnitude -0.4.

Q: How do I change y = log 3 below (x-3) to exponential form

A: If c=logbaSo, bc=a

Q: Use the definition of logarithms to completely simplify. log, (v3)

A: The given logarithmic function is  log33. Solution:  Rule of Logarithms, logabn = nlogab…

Q: 6. A student is asked to find the value of the following logarithmic function without using…

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Q: 4) Consider the following logarithmic equation: What is the solution to the equation? log4(x + 2) +…

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Q: Solve the following equation: log_(5)(-5x- 8)+2log_(5)3=log_(5)67 Type a response

A: We will solve the given equation for variable x.

Q: 0.004 using a log table

A: The integral part of a common logarithmic is known by, Integer parts as the characteristics and the…

Q: 2(5³x-5) = 3*-4 =D3' 2e2x-5e + 2 = 0 %3D

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Q: Solve for all values of x log, (a + 3x + 18) = 2 Answer: Submit Answ Privacy Pc Copyright 2021 Deit

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Q: The graph of y = log6(216x) can be obtained by stretching or translating the graph of y = log6x. A)…

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Q: log, (x-5)+log,(x+3) =1

A: To find log9(x-5)+log9(x+3)=1

Q: What is the most important concept that I need to know about logarithmic functions and what are the…

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Q: Using logarithmic properties, what is the solution to log3(y + 5) + log36 = log366? Show all…

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Q: using logarithmic differentiation?

A: Please check the answer in next step

Q: Use the properties of logarithms to expand the following logarithm as much as possible. Rewrite as a…

A: log(mn) = log(m) + log(n) Log(m^n) = n log(m)

Q: Using logarithmic properties, what is the solution to log4(y – 9) + log43 = log481? Show all…

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Q: 1) Explain a way you could calculate exactly when smartphone manufacturers were shipping 500 million…

A: Given that Gt=174×1.67t where t  is the number of years since 2009. The graph of the above equation…

Q: State the expression log in terms of individual logarithms of x, y and z.

A: Given log z54x2y7

Q: Solve for r: log( – 2x + 15) = 2 - Write log6(- 2x + 15) = 2 in exponential form. Find the value of…

A: We have to find the value of x

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A: Use the log formulas to solve the given expression.

Q: Question 2 solve the equation : 1 -log4 x+3 log4x = 2log4Vx – 1 -

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Q: Lny = lnx5 - (1-10x) + (x2+2)½ Now I'm pretty sure this can be simplified using logarithmic…

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Q: The exponential equation y = 4" can also be written as 43к log4 (x) y %| 3 log4(y) X = 3 log3 (y) X…

A: We have exponential equation y=43x  Choose the suitable option for this

Q: why log ∞ = ∞ ??  please explain

A: Please see the below picture for detailed solution.

Q: Write into logarithmic form. 1) 2* = 12 2) 3* = 15 3) y = 5* 4) 7 = 8a 5) 4-2 =1 6) 112 = 121 16

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Q: Let y = tan(4x + 3).

A: Question 1,Given,             y=tan4x+3

Q: Solve this logarithmic equation for x: log(4x +27) = log(x-2) + log(x) Reminder: To indicate 3x2,…

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Q: How many code words of all lengths can be made from the letters of LOGARITHM, repeated letters not…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In(x) – In(x² + 3x + 2)=

A: We have to simplyfing this

Q: 3) Solve 24x-8 = 16 without using a calculator. 3 4) Separate log₂ (√x²√) into a sum of logarithms.

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