SOLUTION: 5^n-3+5^n=(2)(7)(9)(5^11) Solve for 2n. I know I need to factor out 5^n-3 but I don't know how. Please help! I am studying for the GMAT. thanks!

SOLUTION: 5^n-3+5^n=(2)(7)(9)(5^11) Solve for 2n. I know I need to factor out 5^n-3 but I don't know how. Please help! I am studying for the GMAT. thanks!

Algebra.Com

Question 604222: 5^n-3+5^n=(2)(7)(9)(5^11)
Solve for 2n.
I know I need to factor out 5^n-3 but I don't know how. Please help! I am studying for the GMAT. thanks!
Answer by flame8855(424) (Show Source): You can put this solution on YOUR website!
5^n-3+5^n=(2)(7)(9)(5^11)
5^n(5^-3 +1) = (126)5^11
5^n (1+5^3/5^3) = (126)5^11
5^n = (126/(1+5^3))5^14
5^n = (126/(126))5^14
n= 14
2n = 28

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