Exercise
$ln\left(y-1\right)-ln\left(4\right)=x+ln\left(x\right)$
Step-by-step Solution
Learn how to solve properties of logarithms problems step by step online. Solve the logarithmic equation ln(y-1)-ln(4)=x+ln(x). The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). Take the variable outside of the logarithm. Simplifying the logarithm. Simplify e^{\left(x+\ln\left(x\right)\right)} by applying the properties of exponents and logarithms.
Solve the logarithmic equation ln(y-1)-ln(4)=x+ln(x)
Final answer to the exercise
$y=4xe^x+1$