Explicație pas cu pas:
[tex]{2}^{x} = 32 \iff {2}^{x} = {2}^{5} \\ x = 5[/tex]
[tex]{3}^{x} = 81 \iff {3}^{x} = {3}^{4} \\ x = 4[/tex]
[tex]{9}^{2 \cdot x} = {81}^{4} \iff {9}^{2 \cdot x} = {( {9}^{2} )}^{4} \\ {9}^{2 \cdot x} = {9}^{2 \cdot 4} \implies x = 4[/tex]
[tex]{8}^{3 \cdot x} = {64}^{3} \iff {8}^{3 \cdot x} = {( {8}^{2} )}^{3} \\ {8}^{3 \cdot x} = {8}^{3 \cdot 2} \implies x = 2[/tex]
[tex]{3}^{x+2}+{3}^{x} = 270 \iff {3}^{x}({3}^{2}+1) = 270 \\ {3}^{x}(9+1) = 270 \iff {3}^{x} \cdot 10 = 270 \\ {3}^{x} = 27 \iff {3}^{x} = {3}^{3}\\ \implies x = 3[/tex]
