A patch of farmland is currently worth $78,125. The expected increase in its market value can be modeled by the function below, where t is the time in years.
p(t)=78,125×1.025ᵗ
How many years will it take for the farmland's market value to reach $125,000?
O ln ( (0.025)/1.6 )
O ln ( (1.6)/0.078 )
O 18.8 ln ( (1.6)/0.025 )
O 6.4
O (ln (1.6))/0.025
O 13.6