a) [tex]2^{3x} = (2^{2} )^{24} [/tex]
<=> [tex]2^{3x} = 2^{48}
\ \textless \ =\ \textgreater \ 3x = 48 =\ \textgreater \ x = 16[/tex]
b) ([tex]2^{2} * 2^{3} )^{2x} [/tex] = ([tex] 2^{6} * 2^{4} )^{10}[/tex]
<=> ([tex]2^{5} )^{2x} [/tex] = [tex](2^{10})^{10}
\ \textless \ =\ \textgreater \ 2^{10x} = 2^{100}
\ \textless \ =\ \textgreater \ 10x = 100 =\ \textgreater \ x = 10 [/tex]
