Express $\mathrm{y}$ as a function of $\mathrm{x}$. The constant $\mathrm{C}$ is a positive number.
\[
\ln y=\ln 20 x+\ln C
\]

Answer

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Final Answer: The function of y in terms of x is $\boxed{y = 20Cx}$

Steps

Step 1 ：Given the equation in logarithmic form: $\ln y=\ln 20x+\ln C$

Step 2 ：Using the property of logarithms that states that $\ln(a*b) = \ln(a) + \ln(b)$, we can combine the terms on the right side of the equation: $\ln y=\ln (20xC)$

Step 3 ：Converting the equation into exponential form using the property that if $\ln(a) = b$, then $a = e^b$, we get: $y = 20Cx$

Step 4 ：Final Answer: The function of y in terms of x is $\boxed{y = 20Cx}$

Express $\mathrm{y}$ as a function of $\mathrm{x}$. The constant $\mathrm{C}$ is a positive number.\[\ln y=\ln 20 x+\ln C\]

Answer

Popular Problems

Express $\mathrm{y}$ as a function of $\mathrm{x}$. The constant $\mathrm{C}$ is a positive number.
\[
\ln y=\ln 20 x+\ln C
\]