Home/Algebra/Exponentials and logarithms/Logarithm of a product12. Exponentials and logarithmsLogarithm of a productLevel: fundamentalIn 12. Exponentials and logarithmsFormulaCopy LaTeXlogb(xy)=logbx+logby\log_b(xy)=\log_bx+\log_bylogb(xy)=logbx+logbyTagsalgebraexponentials logarithmsalgebra formulalogarithmsDetailConverts products into sums.Found an error? Contact us.Related formulasRelatedLogarithm of a quotientlogb(x/y)=logbx−logby\log_b(x/y)=\log_bx-\log_bylogb(x/y)=logbx−logbyOpen formulaOpen in sectionRelatedLogarithm of a powerlogb(xr)=rlogbx\log_b(x^r)=r\log_bxlogb(xr)=rlogbxOpen formulaOpen in section