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

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

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

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

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

A:

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: 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: 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

Q: ain how you would evaluate y = log121 (11) without using a calculator.

A: Given: y = log121 (11)

Q: 6. 10logx =

A: Solving the problem by finding the value of the expression.

Q: explain why log (5•2) is not equal to log 5• log 2

A:

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

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

Q: Solving (567^14)^1/7 is the best stated as which of the following: i. anti log [(1/7) x 14 x log…

A: The problem is asking us to express the expression (567^14)^(1/7) in terms of logarithms. We have…

Q: If log x = 3.5 and log y = 5.5, how do x and y compare?

A: We use the definition of the logarithmic function to answer the given question.

Q: Since when can we take the natural logarithm of a negative number?

A: We have to tell when we can take the natural logarithm of a negative number

Q: if log10(2)= .301 and log10(3)= .477, what is log10(4/3)?

A: given :             log10(2) = .301   and log10(3) = .477 find:         log10=(4/3) solution :…