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  text: 'The function [3nd $\\log_b(\\cdot)$] inverts the function $b^{(\\cdot)}.$ In other words, $\\log_b(n) = x$ implies that $b^x = n,$ so $\\log_b(b^x)=x$ and $b^{\\log_b(n)}=n.$ (For example, $\\log_2(2^3) = 3$ and $2^{\\log_2(8)} = 8.$) Thus, logarithms give us tools for analyzing anything that grows [4ts exponentially]. If a population of bacteria grows exponentially, then logarithms can be used to answer questions about how long it will take the population to reach a certain size. If your wealth is accumulating interest, logarithms can be used to ask how long it will take until you have a certain amount of wealth. (TODO)',
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