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2014-10-27T19:50:52+02:00
a)
 8^{n} (1+8)=18*2²°°³

 8^{n} *9=18*2²°°³    I:9
2³^n=2*2²°°³
  2^{3+n} =2²°°⁴
3+n=2004
n=2001


b)
9^{n} (1+9)=10*3²°¹²


9^{n} *10=10*3²°¹²  I:10


9^{n} =3²°¹²
3²^n=3²°¹²
3^{2+n} =2012

2+n=2012
n=2010



c)
 6^{n} *(1+6³)=217*6⁵⁵

 6^{n} *217=217*6⁵⁵  I:217

 6^{n} =6⁵⁵

n=55



d)

7^{n+1} *(1+7)=8*7¹¹


7^{n+1} *8=8*7¹¹  I:8


7^{n+1} =7¹¹

n+1=11
n=10










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