I understand how to use a log table to solve something such as $\log(0.00000000453)$ where we would put $(0.000000453)$ into scientific notation, $4.53 \times 10^{-9}$. Then we can use the log table to find the mantissa of the log, which is $0.6561$, and use the characteristic, $-9$ to add together and get $0.6561+(-9)=-8.3439$ and $\log (0.00000000453)=-8.3439$.
However, if I am given $1.64^{28}$, how would I use the log table? I can use log properties and get $28 \times \log 1.64 = 28 \times 0.2148$ (value from log table). But this gives me $6.0144$ which is not $1.64^{28}=1036639.481$. How do I take my log table calculation and get back to the exponential answer?
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