Thursday, July 30, 2009

Express y as a function of x. The constant C is a positive number.?

Express y as a function of x. The constant C is a positive number.


ln y = 3x + ln C

Express y as a function of x. The constant C is a positive number.?
y = e^(3x+ln C) = Ce^(3x)
Reply:ln(y) = log base e of y, so to cancel ln(y) out, raise e to both sides:





y = e^(3x+ln C)
Reply:ln y = 3x + ln C





y = e^(3x + ln C)


y = e^(3x) e^ln C


y = e^(3x) C


y = C e^(3x)
Reply:y = e^(3x + ln C)


= e^(3x) * e^(ln C)


= e^(3x) * C


= C * e^(3x)


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