Please help me with this logarithmic equation. How do I solve it?

Nov 28, 2016

Answer:

$x = 1$

Explanation:

$\log \left(x \left(x + 3\right)\right) = \log {\left(x + 1\right)}^{2}$ or

$x \left(x + 3\right) = {\left(x + 1\right)}^{2}$ or

${x}^{2} + 3 x = {x}^{2} + 2 x + 1$

Solving for $x$ we get

$x = 1$