How can I communicate hazard ratios from log-transformed biomarkers in a clinically interpretable way?

Many thanks, Jiaqi and David, for your guidance. I think I get it now, after log transformation, the hazard ratio depends on the ratio x1/x2​ and the log-hazard coefficient. A proportional change in x (e.g., doubling or tripling) corresponds to a constant hazard ratio that does not depend on the reference value of x. In contrast, an absolute increase in x (e.g., an increase of 1 unit) produces a hazard ratio that depends on the reference value of x, because the effect is determined by the relative change 1/x and beta.