Evaluate the following logarithmic expression
1.1^h=400
Take the natural log of both sides
Ln(1.1h) = Ln(400)
Use a logarithmic identity
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 |
Final Answer
h = 62.862797650877
