A large online video game tournament begins with 65,53665,536 teams. The number of teams, t, t, remaining after each round, r, r, can be expressed as t=65,536(12)r. t=65,536(12)r. Eight teams will advance to the quarterfinals. The number of rounds necessary for there to be 88 teams left can be modeled as r=log(1k)log(12).r=log⁡(1k)log⁡(12) . What is the value of k?k?

k=8192

Step-by-step explanation:

The number of teams,t remaining after each round, r, can be expressed as:

First, we determine the round,r at which there will be 8 teams left.

Using this value of r

step-by-step explanation:

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