Subjects/Algebra/Exponentials and logarithms/Logarithm of a quotient12. Exponentials and logarithmsLogarithm of a quotientLevel: fundamentalIn 12. Exponentials and logarithmsFormulaCopy LaTeXlogb(x/y)=logbx−logbyDetailConverts quotients into differences.Related formulasRelatedLogarithm of a productlogb(xy)=logbx+logbyOpen formulaOpen in sectionRelatedLogarithm of a powerlogb(xr)=rlogbxOpen formulaOpen in section