Home/Differential Calculus/Elementary functions/Formula1.4. Elementary functionsFormulaIn 1.4. Elementary functionsFormulaCopy LaTeXax=exlna,a>0a^x=e^{x\ln a},\qquad a>0ax=exlna,a>0TagsDifferential calculusDomainFunctionsNotationElementary functionsVariablesxxxIndependent variableaaaPoint or real constanteeeBase of the natural logarithmln\lnlnNatural logarithmConditionsa>0a>0a>0Found an error? Contact us.Related formulasRelatedFormula(sin2x+cos2x=1)(\sin^2 x+\cos^2 x=1)(sin2x+cos2x=1)Open formulaOpen in sectionRelatedFormulalogax=lnxlna,a>0, a≠1, x>0\log_a x=\frac{\ln x}{\ln a},\qquad a>0,\ a\neq1,\ x>0logax=lnalnx,a>0, a=1, x>0Open formulaOpen in section