HSC Extension 1 and 2 Mathematics/Exponential and logarithmic functions

Index lawsEdit

Failed to parse (syntax error): {\displaystyle a^x × a^y = a^[(x+y)]} Failed to parse (syntax error): {\displaystyle a^x ÷ a^y = a^[(x-y)]}

Zero and negative indicesEdit

Rational indicesEdit

Exponential and logarithmic functionsEdit


Formula for converting one base to anotherEdit

Derivative of exponential functionsEdit


Evaluation of eEdit

Natural logarithmsEdit

Derivative of ekx, k a constantEdit



Derivative of logexEdit



Derivative of loge(ax), a > 0Edit


Derivative of loge(ax+b)Edit