Express y as a function of x. The constant C is a positive number.
-$\ln y = \ln 4 x + \ln C$
A) $y = x + 4 C$
B) $y = ( 4 x ) ^ { C }$
C) $y = 4 x + C$
D) $y = 4 C x$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, specifically the product rule $\ln a + \ln b = \ln(ab)$, the equation can be rewritten as $\ln y = \ln(4x \cdot C)$. Exponentiating both sides to eliminate the natural logarithm gives $y = 4Cx$.

Express Y as a Function of X ln⁡y=ln⁡4x+ln⁡C\ln y = \ln 4 x + \ln Clny=ln4x+lnC

Express Y as a Function of X $\ln y = \ln 4 x + \ln C$