what is the formula for finding n in compound interest

Question

A=P(1+(r/100))^n

Answer 1

A = P(1 + (r / 100))ⁿ

 

Divide both sides by P:

A/P = (1 + (r / 100))ⁿ

 

Take the natural log of both sides:

ln (A/P) = n ln (1 + (r / 100))

 

Divide both sides by ln (1 + (r / 100))

ln (A/P) / ln (1 + (r / 100)) = n