Lesson # 12: Laws of Logarithms

The Laws of Logarithms:

1) log(a)(xy) = log(a)x + log(a)y
2) log(a)(x/y) = log(a)x - log(a)y
3) log(a)(x^n) = nlog(a)x
4) log(a)n*root*(x)^1 = log(a)x^1/n or 1/nlog(a)x
5) log(a)b = log(b)/log(a)

Example: Express log8 in otherways
- log2^3 = 3log(2)
- log(2x2x2) = log2 + log(2) + log(2)

Example: Express 5 as a power of 2     *Log Both Sides!*
2^x = 5
log2^x = log5
xlog2 = log5
  log2    log2
x = 2.32