1. The problem statement, all variables and given/known data Show how 10^(-1.7) = alog(0.3) * 10^(-2) 2. Relevant equations Component: non-fraction part of a logarithm. Mantissa: fraction part of a logarithm. 3. The attempt at a solution I'm "reverse engineering" a prof's class through watching his lectures, so I don't have the benefits of having his self-published book sitting in front of me, office hours, or TAs to ask for assistance. I am completely lost by how he achieves this conversion. Any hints on how to understand this stuff about logs and mantissas, etc?