Exercise
$\frac{1}{2}\log\left(x-1\right)=\log\left(x+1\right)-\frac{1}{2}\log\left(x-4\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the logarithmic equation 1/2log(x+-1)=log(x+1)-1/2log(x+-4). Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right). Rearrange the equation. 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 -\frac{1}{2}\log \left(x-4\right) from both sides of the equation.
Solve the logarithmic equation 1/2log(x+-1)=log(x+1)-1/2log(x+-4)
Final answer to the exercise
The equation has no solutions.