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

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Expert Answers

sciencesolve | Certified Educator

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` .**