Question

Please solve this question quick . I need it desperately . A picture of working would be appreciated ! I will give brainly to the most suitable answer . Thanks!

Answer 1

Step-by-step explanation:

$(\frac{7}{2} ) {}^{ - 3x + 2} \div (\frac{49}{4} ) {}^{ \frac{3}{2} } \times (\frac{2}{7} ) {}^{ - 5x} = \frac{343}{8}$

$lhs = ( \frac{7}{2} ) {}^{ - 3x + 2} \div ( \frac{ {7}^{2} }{ {2}^{2} } ) {}^{ \frac{3}{2} } \times ( \frac{7}{2} ) {}^{5x}$

$= (\frac{7}{2} ) {}^{ - 3x + 2} \div (\frac{7}{2} ) {}^{3} \times (\frac{7}{2}) {}^{5x}$

$(\frac{7}{2} ) {}^{ - 3x + 2 - 3 + 5x} = (\frac{7}{2} ) {}^{3}$

$= 2x - 1 = 3$

$2x = 4$

$x = 2$