Factoring is the opposite of what operation

Write the expression as a single natural logarithm. 2 in a - 4 in y

Nellie is analyzing a quadratic function f(x) and a linear function g(x). will they intersect? f(x) g(x) graph of the function f of x equals one half times x squared, plus 2 x g(x) 1 5 2 10 3 15

The triangles are similar. what is the value of x? enter your answer in the box.