The equation y=2(3^t) shows the number of infected people from an outbreak of the norovirus. the variable y represents the number of infected people and t represents time in weeks. in how many weeks will the number if infected people reach 1458?

Step-by-step explanation:

We have the equation

Dividing by 2 on both sides we get

Taking the natural logarithm on both sides we get

So t = \frac{\ln(729)}{\ln(3)} = 6.

So at 6 weeks we get 1458 infected people.

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