Question

What is the base conversion formula for logarithms?

Answer 1

Log base "a" of "x" is the same quotient of log base"b" of "x" and log base "b" of "a".

This allows us to convert a base that is not easily solvable into the division of of logs with common base that is easy to solve.

`log_a(x)=(log_b(x))/(log_b(a))`

`log_10(100)=(log_e(100))/(log_e(10))=(ln(100))/(ln(10))=2`