Question

3/2 to the power -3 × (3/2) to the power 5 = (3/2) to the power 2x+1

Answer 1

$( \frac{3}{2} ) ^{ - 3} \times ( \frac{3}{2} ) ^{ 5} = ( \frac{3}{2} ) ^{ 2x + 1} \\ ( \frac{3}{2} ) ^{ - 3 + 5} = ( \frac{3}{2} ) ^{ 2x + 1} \\ ( \frac{3}{2} ) ^{ 2} = ( \frac{3}{2} ) ^{ 2x + 1} \\ 2 = 2x + 1 \\ 2x + 1 = 2 \\ 2x = 2 - 1 \\ 2x = 1 \\ x = \frac{1}{2}$