Logarithmic & Exponential Functions

• logarithmic functions
• exponential functions
• hyperbolic functions
• see also:
  • Algebra
  • Mensuration
  • Calculus
  • Circular functions
  • Coordinate geometry, parabolae, etc
  • Finance equations
  • Probability theory

Logarithmic functions:

• loga(x) + loga(y) = loga(xy);
• log(1) = 0;
• loga(x) - loga(y) = loga(x/y);
• ploga(x) = loga(x^p);
• logb(x)= loga(x)/loga(b);

Exponential functions:

• a^m * a^n = a^(m+n);
• a^m/a^n = a^(m-n);
• (a^m)^n = a^(mn);
• (ab)^n = a^n * b^n;
• a^(-n) = 1/a^n;
• a^0 = 1;
• a^(1/q), where q is positive integer, a>0,
  • then, = positive qth root of a;
• x^y = Exp(y * Ln(x)); where exp(z) is e to power of z.

Hyperbolic functions:

• sinhx = 0.5(e^x - e^(-x));
• coshx = 0.5(e^x + e^(-x));
• tanhx = (e^x - e^(-x))/(e^x + e^(-x));