Logarithmic Lerp function

Help and Feedback Code Review
#1 
function loglerp(a, b, t)
	return a * (1 - t) ^ 2 + b * t ^ 2
end

Is this the right formula for log lerp?

#2

My a logarithmic lerp I’m assuming you mean an easeOutExpo?

function easeOutExpo(x: number): number {
    return x === 1 ? 1 : 1 - pow(2, -10 * x);
}
#4

I mean yes, an easeOutExpo is a type of logarithmic lerp. Sorry

#5 
function easeOutExpo(t, b, c, d)
	return c * (-math.pow(2, -10 * t / d) + 1) + b
end
#6

What does this do?

function easeOutBack(t, b, c, d, s)
	if not s then s = 1.70158 end
	t = t / d - 1
	return c * (t * t * ((s + 1) * t + s) + 1) + b
end