Exercise
$2logx-1\:=\:log\left(1-2x\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the logarithmic equation 2log(x)-1=log(1+-2*x). We need to isolate the dependent variable x, we can do that by simultaneously subtracting -1 from both sides of the equation. Canceling terms on both sides. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right). Express the numbers in the equation as logarithms of base 10.
Solve the logarithmic equation 2log(x)-1=log(1+-2*x)
Final answer to the exercise
$x=\frac{-20+\sqrt{440}}{2},\:x=\frac{-20-\sqrt{440}}{2}$