Find a function (logarithmic/exponential) to model the following graph. Be sure to show all work in coming up function.

Asked on by foxwit

This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)

1 Answer | Add Yours

Top Answer

sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You need to identify a point located on the given graph, hence, you may notice that for `x = 2, y = 3` , hence, you can set up the following logarithmic function, such that:

`y = log_a x`

Replacing `2` for `x` and `3` for `y` yields:

`3 = log_a 2 => a^3 = 2 => a = root(3)2`

Since the base of logarithm is now known, you may predict the model of logarithmic function, such that:

`y = log_(root(3)2) x`

Hence, evaluating the logarithmic function whose equation models the given curve, yields `y = log_(root(3)2) x` .

We’ve answered 319,809 questions. We can answer yours, too.

Ask a question