Caitlin B.

asked • 06/18/19

Exponential and Logarithmic Functions

The rate at which a battery charges is slower the closer the battery is to its maximum charge C0. The time (in hours) required to charge a fully discharged battery to a charge C is given by

t = -k ln (1-C/C0)

where k is a positive constant that depends on the battery. For a certain battery, k = 0.2. If this battery is fully discharged, how long will it take to charge to 60% of its maximum charge C0? (Round your answer to three decimal places.) 

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