Home/Algebra/Exponentials and logarithms/Logarithm of a power12. Exponentials and logarithmsLogarithm of a powerLevel: fundamentalIn 12. Exponentials and logarithmsFormulaCopy LaTeXlogb(xr)=rlogbx\log_b(x^r)=r\log_bxlogb(xr)=rlogbxTagsalgebraexponentials logarithmsalgebra formulalogarithmsDetailConverts exponents into factors.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 section