To calculate the exponent $k$, you need to solveįrom the above calculation, we already know that $k=3$.
Instead, I told that the base was $b=2$ and the final result of the exponentiation was $c=8$. Let's say I didn't tell you what the exponent $k$ was. We can use the rules of exponentiation to calculate that the result is The result is some number, we'll call it $c$, defined by $2^3=c$. If we take the base $b=2$ and raise it to the power of $k=3$, we have the expression $2^3$. In other words, if we take a logarithm of a number, we undo an exponentiation.
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