SOLUTION: 6.02x10^-4=0.153^-N I cannot remember how to derive N from this.

Algebra ->  Exponents -> SOLUTION: 6.02x10^-4=0.153^-N I cannot remember how to derive N from this.      Log On


   

Question 474696: 6.02x10^-4=0.153^-N
I cannot remember how to derive N from this.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You would use logarithms:
6.02X10%5E%28-4%29+=+0.153%5E%28-N%29 Take the log (common) of both sides.
Log%5B10%5D%286.02X10%5E%28-4%29%29+=+Log%5B10%5D%280.153%5E%28-N%29%29 Apply the "power rule" to the right side.
Log%5B10%5D%286.02X10%5E%28-4%29%29+=+-N%2ALog%5B10%5D%280.153%29 Divide both sides by Log%5B10%5D%280.153%29
-N+=+%28Log%286.02X10%5E%28-4%29%29%29%2F%28Log%280.153%29%29 Evaluate using your calculator.
-N+=+3.9429 so...
N+=+-3.943 Rounded.