We have this equation:
First, combine both logarithms using the multiplication property and simplify the expression.
Now, use the definition of logarithm to transform the equation.
Finally, use the quadratic formula to solve the equation.
With this, we can say that the solution set is:
- x = 1
- x = -100
We cannot choose x = -100 as a solution because we cannot have a negative logarithm. The only solution is x = 1.
