The age, in years, of six recently discovered fossils can be written as a logarithmic function of the percentage of carbon-14 remaining.

% of carbon-14 (P)	78	45	63	17	98	88
Number of years (n)	1 765	7 852	3 251	16 589	235	792

1. Determine the logarithmic regression equation to model this scenario, in the form

P(n) = a + b ln(n),

where P represents the percentage of carbon-14 remaining after n number of years. Round the parameters to the nearest tenth.

2. Find the percent of carbon-14 remaining, to the nearest tenth of a percent, of a fossil that is 2023 years old.

3. Calculate the age, to the nearest year, of a fossil that has 32% of carbon-14 remaining.