Subjects/Algebra/Exponentials and logarithms/Logarithm of a product12. Exponentials and logarithmsLogarithm of a productLevel: fundamentalIn 12. Exponentials and logarithmsFormulaCopy LaTeXlogb(xy)=logbx+logbyDetailConverts products into sums.Related formulasRelatedLogarithm of a quotientlogb(x/y)=logbx−logbyOpen formulaOpen in sectionRelatedLogarithm of a powerlogb(xr)=rlogbxOpen formulaOpen in section