SOLUTION: 3,039,451,023=2,556,000,053e^(10k) Thanks!

Algebra ->  Square-cubic-other-roots -> SOLUTION: 3,039,451,023=2,556,000,053e^(10k) Thanks!       Log On


   

Question 29034: 3,039,451,023=2,556,000,053e^(10k)
Thanks!
Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
3,039,451,023=2,556,000,053e^(10k)

2,556,000,053e10k = 3,039,451,023

Divide both sides by 2,556,000,053

e10k = 3,039,451,023/2,556,000,053

Use the fact that eA = B can be written A = ln(B)

10k = ln(3,039,451,023/2,556,000,053)

Use the fact that ln(A/B) = ln(A) - ln(B) on right side

10k = ln(3,039,451,023) - ln(2,556,000,053)

Use calculator

10k = .1732333573

  k = .01732333573

Edwin 
AnlytcPhil@aol.com