Question

hey can some one explain what a logritim is to me please in the way of relation, ie. exponentials is multiplication made easy 5^3 IS 5x5x5

Answer 1

yes thats right

Answer 2

but can you explain what a logrithim is in the same manner

Answer 3

\[\log_{b}a=x\] can be re-written by dropping the log and moving the base. \[a=b^x\] Exponential and Logarithmic problems are inverses for this reason. The base in a log problem is the same as the base in an exponent. The solution to a log problem (in this case x) is the value the exponent needs to be to make the base (b) the value of what you are taking the log of (a).

Answer 4

Succinctly, a log is an exponent. Consider \[\log _{b}a=x\]where b is called the base, and a is called the argument of the logarithm. The logarithm is the power to which you have to raise b in order for it to equal a. That answer is x.