Express y As A Function of x.?

For each question below, express y as a function of x. The constant C is a positive number.





QUESTIONS:





(1) In y = In(x + C)





(2) In y = 2 In x - In(x + 1) + In C





NOTE: In is the natural log.

Express y As A Function of x.?
Note:


e^(ln w) = w.





Insert both sides in the exponential function.





Property of the ln function:


r ln a = ln (a^r)


ln a + ln b = ln (ab)


ln a - ln b = ln (a/b)...


Thus ln a + ln b - ln c = ln(ab/c). Use that for question (2).





d:
Reply:in the first one we get y=x+c


in the second one y=x^2*c/(x+1) (using formulae of logarithms)
Reply:you need to practice workin with logs and exponents:
Reply:(1) y = x + c





(2) lny = ln [(x^2)c/(x + 1)]


y = (x^2)c/(x + 1)





i hope this helps : )