Răspuns:
[tex]\bf a) ~~2^{3} = 2^{\star}\implies \purple{\underline{~\star = 3~}}[/tex]
[tex]\bf b) ~~3^{\star}=3^{18} \implies \red{\underline{~\star = 18~}}[/tex]
[tex]\bf c) ~~9^{8} = 3^{\star}\implies 3^{2\cdot 8} = 3^{\star}\implies \blue{\underline{~\star = 16~}}[/tex]
[tex]\bf d) ~~27^{\star}=3^{9} \Rightarrow 3^{3\star}=3^{9}\Rightarrow 3\star=9 \Rightarrow \green{\underline{~\star = 3~}}[/tex]
[tex]\bf e) ~~5^{\star}=125^{4} \Rightarrow 5^{\star}=5^{3\cdot 4} \Rightarrow 5^{\star}=5^{12} \Rightarrow \red{\underline{~\star = 12~}}[/tex]
[tex]\bf f) ~~4^{3} = 2^{\star}\Rightarrow 2^{2\cdot 3}= 2^{\star} \Rightarrow 2^{6}= 2^{\star} \Rightarrow \purple{\underline{~\star = 6~}}[/tex]
[tex]\bf g) ~~8^{\star}=2^{18} \Rightarrow 2^{3\star}=2^{18}\Rightarrow 3\star=18\Rightarrow \pink{\underline{~\star = 6~}}[/tex]
Sper sa iti fie de folos rezolvarea mea chiar daca am raspuns dupa 6 zile de cand ai postat exercițiul. Daca atașai o imagine cu exercițiul era rezolvat de atunci.
Bafta multa !
