a)
[tex]( \frac{3}{2} ) {}^{x - 1} \times ( \frac{3}{2}) {}^{6} = (\frac{3}{2} ) {}^{4} [/tex]
[tex]( \frac{3}{2}) {}^{x + 5} = ( \frac{3}{2} ) {}^{4} [/tex]
[tex]x + 5 = 4 \\ x = 4 - 5 \\ x = - 1[/tex]
b)
[tex] \frac{2}{5} x = \frac{1}{5} \times 77 \\ \frac{2}{5} x = \frac{77}{5} [/tex]
c)
[tex]154x - 33 = 105 \\ 154x = 105 \ + 33 \\ 154x = 138 \\ x = \frac{69}{77} [/tex]
d)
[tex] \frac{11}{5} x = \frac{154}{1} \\ \frac{11}{5} x = 154 \\ x = 70[/tex]
