Thread: Just need a little help to figure out x in this log question

Find the largest value of that satisfies:

I have rewritten it like this log₂(x^2/(x+1))=4 which in exponent form is 2^4=(x^2/(x+1)) so 16=(x^2/(x+1))
but I am still rusty need some direction

Originally Posted by M670

Find the largest value of that satisfies:

I have rewritten it like this log₂(x^2/(x+1))=4 which in exponent form is 2^4=(x^2/(x+1)) so 16=(x^2/(x+1))

Keep going:

Originally Posted by Plato

Keep going:

Ok form here I am sure I can do it, but can elaborate which rules you applied to get to that point

multiply both sides by ...



distribute the right side and collect all terms on the left side to set the quadratic equation = 0

remember when you finish finding solutions for ,