Exercise
$-4\ln\left(2x^2\right)=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the logarithmic equation -4ln(2x^2)=0. Divide both sides of the equation by -4. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). We need to isolate the dependent variable x, we can do that by simultaneously subtracting \ln\left(2\right) from both sides of the equation.
Solve the logarithmic equation -4ln(2x^2)=0
Final answer to the exercise
$x=e^{\frac{-\ln\left(2\right)}{2}}$