Exercise
$ln\left(x^2\right)=ln^2\left(x\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the logarithmic equation ln(x^2)=ln(2x). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \ln(a)=\ln(b) then a must equal b. Grouping all terms to the left side of the equation. Factor the polynomial x^2-2x by it's greatest common factor (GCF): x. Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations.
Solve the logarithmic equation ln(x^2)=ln(2x)
Final answer to the exercise
$x=2$