Question

Please explain with working (steps)

Answer 1

Answer:

x=4

Step-by-step explanation:

Please find the ATTACHMENT.

Answer 2

Answer:

$( \frac{ - 2}{3} ) ^{2x + 3} \times { (\frac{ - 3}{2} )}^{5x + 1} = ( { \frac{ - 3}{2}) }^{10} \\ = > ( - \frac{2}{3}) ^{2x + 3} \times ( - \frac{3}{2} ) ^{5x + 1} = ( - \frac{3}{2} )^{10} \\ = > ( - \frac{3}{2} ) {}^{5x + 1} = ( - \frac{3}{2} ) ^{10} \div ( - \frac{2}{3} ) {}^{2x + 3} \\ = > ( - \frac{3}{2} ) {}^{5x + 1} = ( - \frac{3}{2} ) ^{10} \times ( - \frac{3}{2} ) ^{2x + 3} \\ = > ( - \frac{3}{2} ) {}^{5x + 1} = ( - \frac{3}{2} ) ^{10 + 2x + 3} \\ = > ( - \frac{3}{2} ) ^{5x + 1} = ( - \frac{3}{2} ) ^{2x + 13} \\ = > 5x + 1 = 2x + 13 \\ = > 5x - 2x = 13 - 1 \\ = > 3x = 12 \\ = > x = \frac{12}{3} \\ = > x = 4$