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, 4.53×10−9. 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 1.6428, how would I use the log table? I can use log properties and get 28×log1.64=28×0.2148 (value from log table). But this gives me 6.0144 which is not 1.6428=1036639.481. How do I take my log table calculation and get back to the exponential answer?
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