a)
[tex] (4 ^{x} )^{2} = 2 ^{8} = > x \times 2 = 8 = > x = 4[/tex]
c)
[tex](5 ^{2} ) ^{x + 3 } = 5 ^{4x} = > 2 \times (x + 3) = 4x + 2 \\ 2x + 6 = 4x + 2 \\ 6 = 2x + 2 \\ 4 = 2x \\ 2 = x[/tex]
e)
[tex](3 ^{x} )^{5} = 3 ^{10} \times 3 ^{5 } \\ = > 5 \times x = \times 5 \\ 5x = 50 \\ x = 10[/tex]
g)
[tex]x \div (2^{2} \times 3 ^{3} ) = 4 \\ x \div (4 \times 8) = 4 \\ x \div 32 = 4 \\ x = 128[/tex]