Home/Algebra/Exponentials and logarithms/Change of basis12. Exponentials and logarithmsChange of basisLevel: fundamentalIn 12. Exponentials and logarithmsFormulaCopy LaTeXlogbx=logaxlogab\log_bx=\frac{\log_ax}{\log_ab}logbx=logablogaxTagsalgebraexponentials logarithmsalgebra formulalogarithmsDetailExpresses a logarithm in any valid base.Found an error? Contact us.Related formulasRelatedDefinition of logarithmlogbx=y ⟺ by=x\log_bx=y\iff b^y=xlogbx=y⟺by=xOpen formulaOpen in section