Solve the logarithmic equation.
Log x + log (x+2) = log 3
Rewrite the left side of the equation as one logarithm, using the properties of logarithms.
Log x *(x+2) = log 3
Next, exponentiate both sides of the equation.
x(x+2) = 3
Now, solve for x. Use the distributive Property.
+ 2x = 3
Set the equation equal to zero.
+ 2x – 3 = 0
Solve the resulting quadratic equation. Use the Quadratic Formula.
Remember that the domain of is all x > 0, so the answer must be greater than zero.