The equation $$p(t)=1 \boldcdot e^t$$ represents a population of bacteria, in thousands, $$t$$ days after it was first counted. Here is a graph of $$y=p(t)$$ . Select all the true statements.

$$\ln(30)$$ is the number of days until the population reaches 30,000.

The graph shows that 3 is a reasonable approximation for $$\ln 20$$ .

The value of $$e^{4}$$ is greater than 50, so the value of $$\ln(50)$$ is less than 4.

$$\ln(t)=y$$ is the logarithmic form of $$y=e^t$$ .

The graph shows that 10 is a reasonable approximation for $$\ln(2.3)$$ .

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