8^n+8^(n+1)=18x2^2003
8^n(1+8)=18x2^2003
9x2^3n=2x9x2^2003
9x2^3n=9x2^2004
3n=2004
n=2004/3=668
9^n+9^(n+1)=10x3^2012
9^n(1+9)=10x3^2012
3^2nx10=10x3^2012
2n=2012
n=2012/2=1006
6^n+6^(n+3)=217x6^55
6^n+6^3x6^n=217x6^55
6^n(1+6^3)=217x6^55
6^nx217=217x6^55
6^n=6^55
n=55
7^(n+1)+7^(n+2)=8x7^11
7^(n+1)(1+7)=8x7^11
n+1=11
n=11-1=10
