Home/Algebra/Exponentials and logarithms/Exponential function12. Exponentials and logarithmsExponential functionLevel: fundamentalIn 12. Exponentials and logarithmsFormulaCopy LaTeXf(x)=ax,a>0, a≠1f(x)=a^x,\quad a>0,\;a\ne1f(x)=ax,a>0,a=1Tagsalgebraexponentials logarithmsalgebra formulalogarithmsDetailBasic model of exponential growth and decay.Explore the ideaFound an error? Contact us.Related formulasRelatedDefinition of logarithmlogbx=y ⟺ by=x\log_bx=y\iff b^y=xlogbx=y⟺by=xOpen formulaOpen in sectionRelatedExponential growth/decayP(t)=P0ektP(t)=P_0e^{kt}P(t)=P0ektOpen formulaOpen in section