Exponential Function Solution Equation - Decay (Discrete, Mis-matched Time Units) - Scenario to Time

Question

Rearrange the exponential equation to solve for  for the time given this scenario?

A toxin starts at a concentration of 500mg/L. Each weekly dialysis reduces it by 2%. After a certain number of days it has decreased to a concentration of 416mg/L.

Accepted Answer

$$t = 7 \cdot \frac{\ln{\frac{416}{500}}}{\ln{(1-0.02)}}$$

Answer

$$t = \frac{1}{7} \cdot \frac{\ln{\frac{416}{500}}}{\ln{(1-0.02)}}$$

Answer

$$t = 7 \cdot \frac{\ln{416 \cdot 500}}{\ln{(1-0.02)}}$$

Practice: Exponential Function Solution Equation - Decay (Discrete, Mis-matched Time Units) - Scenario to Time

On this page:

Practice:

Exponential Function Solution Equation - Decay (Discrete, Mis-matched Time Units) - Scenario to Time

Skills that use 'Exponential Function Solution Equation - Decay (Discrete, Mis-matched Time Units) - Scenario to Time'