3. Zastąp litery odpowiednimi liczbami.
e) 76 = e3
c) 99 = 30
g) 220 = 10
a) 48 = 20
d) 368 = 60
f) 56 = f2
h) 315 = h5
b) 83 = 2b​


3 Zastąp Litery Odpowiednimi Liczbamie 76 E3c 99 30g 220 10a 48 20d 368 60f 56 F2h 315 H5b 83 2b class=

Odpowiedź :

[tex]zad.3\\\\a)\\4^{8} =2^{a} \\\\(2^{2} )^{8} =2^{a}\\\\2^{16} =2^{a}~~\Leftrightarrow~~a=16\\\\b)\\8^{3} =2^{b} \\\\(2^{3} )^{3} =2^{b}\\\\2^{9} =2^{b}~~\Leftrightarrow~~b=9\\\\c)\\9^{9} =3^{c} \\\\(3^{2} )^{9} =3^{c}\\\\3^{18} =3^{c}~~\Leftrightarrow~~c=18[/tex]

[tex]d)\\36^{8} =6^{d} \\\\(6^{2} )^{8} =6^{d}\\\\6^{16} =6^{d}~~\Rightarrow~~d=16[/tex]

[tex]e)\\7^{6} =e^{3} \\\\(7^{2} )^{3} =e^{3}\\\\49^{3} =e^{3}~~\Leftrightarrow~~e=49[/tex]

[tex]f)\\5^{6} =f^{2} \\\\(5^{3} )^{2} =f^{2}\\\\125^{2} =f^{2}~~\Leftrightarrow~~f=125[/tex]

[tex]g)\\2^{20} =g^{10} \\\\(2^{2} )^{10} =g^{10}\\\\4^{10} =g^{10}~~\Leftrightarrow~~g=4[/tex]

[tex]h)\\3^{15} =h^{5} \\\\(3^{3} )^{3} =h^{5}\\\\27^{5} =h^{5}~~\Leftrightarrow~~h=27[/tex]