Exercise
$\ln\left(x\right)+ln\left(x-3\right)=1$
Step-by-step Solution
Learn how to solve differential equations problems step by step online. Solve the logarithmic equation ln(x)+ln(x-3)=1. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Multiplying polynomials x and x-3. Take the variable outside of the logarithm. Any expression to the power of 1 is equal to that same expression.
Solve the logarithmic equation ln(x)+ln(x-3)=1
Final answer to the exercise
$x=\frac{3+\sqrt{9-4\cdot -e}}{2},\:x=\frac{3-\sqrt{9-4\cdot -e}}{2}$