1.1^h=400

Enter natural log statement


  

Solve 1.1h=400

We need to solve for h, therefore, in order to remove it from the power portion, we take the natural log of both sides
Ln(1.1h) = Ln(400)

There exists a logarithmic identity which states: Ln(an) = n * Ln(a)
Using that identity, we have n = h and a = 1.1, so our equation becomes:
hLn(1.1) = 5.991464547108
0.095310179804325h = 5.991464547108

Divide each side of the equation by 0.095310179804325

0.095310179804325h
0.095310179804325
=
  
5.991464547108
0.095310179804325

h = 62.862797650877