SOLUTION: Solve t in the fonnula N = No.e^kt, where No = 2.51.10^-12, N = 7.23.10^6.No , k = 0.555 (1/s) and e is Neper's number (~ 2.71828). I FOUND t=28.457

Algebra ->  Equations -> SOLUTION: Solve t in the fonnula N = No.e^kt, where No = 2.51.10^-12, N = 7.23.10^6.No , k = 0.555 (1/s) and e is Neper's number (~ 2.71828). I FOUND t=28.457       Log On


   



Question 421280: Solve t in the fonnula N = No.e^kt, where No = 2.51.10^-12,
N = 7.23.10^6.No , k = 0.555 (1/s) and e is Neper's number (~ 2.71828).
I FOUND t=28.457

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+7.23%2A10%5E6+=+2.51%2A10%5E%28-12%29%2Ae%5E%28.555t%29+
+%287.23%2A10%5E6%29+%2F+%282.51%2A10%5E%28-12%29%29+=+e%5E%28.555t%29+
+2.88%2A10%5E18+=+e%5E%28.555t%29+
+.555t+=+ln%282.88%2A10%5E18%29+
+.555t+=+ln%282.88%29+%2B+ln%2810%5E18%29+
+.555t+=+1.058+%2B+18%2Aln%2810%29+
+.555t+=+1.058+%2B+18%2A2.303+
+.555t+=+42.504+
+t+=+76.585+
check answer:
+7.23%2A10%5E6+=+2.51%2A10%5E%28-12%29%2Ae%5E%28.555%2A76.585%29+
+7.23%2A10%5E6+=+2.51%2A10%5E%28-12%29%2Ae%5E42.505+
+7.23%2A10%5E6+=+2.51%2A10%5E%28-12%29%2A2.881%2A10%5E18+
+7.23%2A10%5E6+=+7.231%2A10%5E6
checks out pretty close, but I might have slipped up.