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Here is a logarithmic expression: \(\log_2 64\).
In order for an investment, which is increasing in value exponentially, to increase by a factor of 5 in 20 years, about what percent does it need to grow each year? Explain how you know.
Here is the graph of the amount of a chemical remaining after it was first measured. The chemical decays exponentially.
What is the approximate half-life of the chemical? Explain how you know.
Find each missing exponent.
Explain why \(\log_{10}1 = 0\).
How are the two equations \(10^2 = 100\) and \(\log_{10}(100) = 2\) related?