Finding correlation through plotting logarithms

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I have a problem in which I am to find the correlation between two sets of data. Plotting them as logarithms makes for a constant increase, except for one of the data points (the first), as seen in the graph below. How do I continue from here? What solution could possibly create a constant increase?

The values for $x$: $0.2, 1.1, 4.4, 8.2, 12.5, 15.1$.

The values for $y$: $2.08, 4.42, 40.7, 136.5, 314.5, 458.0$.

The logarithms of these give the following graph:

The graph of $log(x)$ and $log(y)$.