Question

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

$\ln y=\ln x+\ln C$

Short answer

$y=Cx$

Step-by-step solution

Step 1. Given information.

Consider the given information.

$\ln y=\ln x+\ln C$

Step 2. Calculation.

Use the logarithm property to solve.

$\begin{array}{rcl}\ln y& =& \ln x+\ln C\\ \ln y& =& \ln xC\\ y& =& xC\end{array}$

Step 3. Conclusion.

The result is$y=Cx$.