0. Functions

Which operation can be used to eliminate the natural logarithm ($\ln$) from both sides of an equation such as $\ln \left(x\right)=3$?

Given the following table of values for an exponential function $f\left(x\right)$:

Which of the following transformations results in a vertical stretch of the exponential decay function $f\left(x\right)=e^{-x}$?

A culture of bacteria has a population of $150$ cells when it is first observed. The population doubles every $12~\(\text{hr}\)$, which means its population is governed by the function $p\(\left\)(t\(\right\))=150\(\cdot{2^{\frac{t}{12}\)}}$, where $t$ is the number of hours after the first observation.

What is the population $4~\(\text{days}\)$ after the first observation?