Conclusion: Mathematicians are out of touch with how math is actually used throughout life.
Oh please. In any reasonable definition of "real life", logarithms aren't used at all.
Let me rephrase, then. Among people who use logarithms, use of the base-10 logarithm is more common than use of the natural logarithm. Or, perhaps: among people who use scales based on logarithms (pH, dB, O.D., etc) on a regular basis, more use scales based on the common logarithm.
Stated another way: If you live in a settlement of ~1000 or more, there's a strong chance someone in your town dealt with common logarithms today, either directly or indirectly.
Using logarithm base 10 is a lot like measuring angles in degrees. They sync up nicely with conventions that humans hit upon for convenience and are therefore often used when presenting results. But whether you are a mathematician, engineer, scientist, programmer, or financial analyst you are going to reach for logarithm base e and measure your angles in radians whenever you do any reasonably in depth analysis.
I have to strongly disagree. Engineers don't use radians except for (some) EE's dealing with AC power. Nobody is going to convert pH measurements into something else, as that would entirely destroy the point of the pH scale. Obviously I'll spot you mathematicians and financial analysts.
Interestingly, your categorization of people who might use logarithms betrays biases I hadn't really thought of. The category 'mathematicians' contains an order of magnitude fewer people than the category 'scientists' even when we only include the natural sciences and ignore the social sciences.