Home/Algebra/Exponentials and logarithms/Logarithm of a quotient12. Exponentials and logarithmsLogarithm of a quotientLevel: fundamentalIn 12. Exponentials and logarithmsFormulaCopy LaTeXlogb(x/y)=logbx−logby\log_b(x/y)=\log_bx-\log_bylogb(x/y)=logbx−logbyTagsalgebraexponentials logarithmsalgebra formulalogarithmsDetailConverts quotients into differences.Found an error? Contact us.Related formulasRelatedLogarithm of a productlogb(xy)=logbx+logby\log_b(xy)=\log_bx+\log_bylogb(xy)=logbx+logbyOpen formulaOpen in sectionRelatedLogarithm of a powerlogb(xr)=rlogbx\log_b(x^r)=r\log_bxlogb(xr)=rlogbxOpen formulaOpen in section