17.
75 = 2⁶ + 2³ +2¹ +2⁰ = 64 + 8 +2 +1 =75
54 = 2⁵ + 2⁴ + 2² +2¹ =32 + 16 + 4 + 2 =54
25 = 2⁴ + 2³ + 2⁰ = 16 + 8 + 1
33 = 2⁵+ 2⁰ = 32 + 1
124 = 2⁶ + 2⁵ +2⁴+2³ +2² = 64 +32 + 16 + 8 +4
19.
a) 7ˣ⁺¹-2·7ˣ = 35
7ˣ·7¹ - 2·7ˣ=35
7ˣ(7-2) = 35
7ˣ·5 = 7·5
7ˣ= 7
x = 1
19.
a)7ˣ·5 = 7·5
7ˣ= 7
x = 1
b) 6ˣ⁺¹-3·6ˣ = 108
6ˣ·6¹ - 3·6ˣ= 108
6ˣ·(6 - 3) = 108
6ˣ·(6 - 3) = 6 · 18
6ˣ· 3 = 6 · 18
6ˣ = 36
6ˣ = 6²
x = 2
20.
a) ( 4 + 4²) : 2² - 59⁰ +1 ²⁰¹⁵ =
4¹⁺² :2² -1 + 1 =
2²ˣ³ :2² =
2⁶⁻² = 2⁴ = 16
b)( 14²⁵-14²⁴) : 14²³ -159⁰ + 1 ²⁰¹⁷ =
14²⁵⁻²⁴ :14²³ - 1 + 1 =
14¹ :14²³ =
14¹⁻²³ = 14⁻²²
