Logarithm

#3005, #3006, #3007, Show Work 1
1.
`b^p = x`
2.
`log_b(x) = p`
3.
`ln(a) = log(a)/log(e)`
4.
`log_b(1) = 0`
5.
`log_b(b) = 1`
6. Product Rule
`log_b(xy) = log_b(x) + log_b(y)`
7. Quotient Rule
`log_b(x/y) = log_b(x) - log_b(y)`
8. Power Rule
`log_b(x^y) = y log_b(x)`
9. Base Switch Rule
`log_b(c) = 1/log_c(b)`
10. Change of Base Rule
`log_a(x) = log_b(x)/log_b(a)`
11. Reciprocal Rule
`log_b(1/x) = -log_b(x)`
12.
`log_e(x) = ln(x)`
13.
`e^ln(c) = c`
14.
`ln(e^k) = k`
References:
  1. https://brownmath.com/alge/loglaws.htm
  2. https://mathinsight.org/logarithm_basics
  3. https://www.rapidtables.com/calc/math/Log_Calculator.html