a)
( 3¹⁰⁰ - 3⁹⁹ - 3⁹⁸ ) / x = 27³² / 0,(3)
0,( 3 ) = 3 / 9 = 1 / 3
27³² x = 1 / 3 x 3⁹⁸ x ( 3² - 3 - 1 )
( 3³ )³² x = 1 / 3 x 3 x 3⁹⁷ x ( 9 - 3 - 1 )
3³ˣ³² x = 3⁹⁷ x 5
3⁹⁶ x = 3⁹⁶ x 3 x 5 l : 3⁹⁶
x = 3 x 5
x = 15
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b)
x / ( 2⁵¹ - 2⁵⁰ - 2⁴⁹ ) = 0,(2) / ( 2¹⁶)³
0,( 2) = 2 / 9
( 2¹⁶ )³ = 2¹⁶ˣ³= 2⁴⁸
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2⁴⁸ X = (2 / 9) x 2⁴⁹ x ( 2² - 2 - 1 )
2⁴⁸ X = ( 2 / 9 ) x 2⁴⁹ x 1
2⁴⁸ X = ( 2² x 2⁴⁸ ) / 9 l : 2⁴⁸
X = 2² / 9 = 4 / 9
