HSC Extension 1 and 2 Mathematics/Exponential and logarithmic functions

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Index laws[edit]

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 indices[edit]

Rational indices[edit]

Exponential and logarithmic functions[edit]


Formula for converting one base to another[edit]

Derivative of exponential functions[edit]

Evaluation of e[edit]

Natural logarithms[edit]

Derivative of ekx, k a constant[edit]

Derivative of logex[edit]

Derivative of loge(ax), a > 0[edit]

Derivative of loge(ax+b)[edit]