Exercise
$\ln\frac{3}{x}\:=2$
Step-by-step Solution
Learn how to solve properties of logarithms problems step by step online. Solve the logarithmic equation ln(3/x)=2. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. We need to isolate the dependent variable x, we can do that by simultaneously subtracting \ln\left(3\right) from both sides of the equation. Canceling terms on both sides. Multiply both sides of the equation by -1.
Solve the logarithmic equation ln(3/x)=2
Final answer to the exercise
$x=e^{\left(-2+\ln\left(3\right)\right)}$