Question

pls tell me quickly

Answer 1

Answer:

$( \sqrt{\frac{5}{3} } )^{x - 8} = ( \frac{27}{125} ) ^{2x - 3} \\ ( \frac{5}{3} )^{ \frac{x - 8}{2} } = (\frac{125}{27} )^{3 - 2x} \\ ( \frac{5}{3} )^{ \frac{x - 8}{2} } = (\frac{ {5}^{3} }{ {3}^{3} } )^{3 - 2x} \\ ( \frac{5}{3} )^{ \frac{x - 8}{2} } = (\frac{ {5}}{ {3}} )^{3(3 - 2x)} \\ \implies \: \frac{x - 8}{2} = 3(3 - 2x) \\\implies \: x - 8 = 2 \times 3(3 - 2x) \\\implies \: x - 8 = 6(3 - 2x) \\ \implies \: x - 8 =18 - 12x \\ \implies x + 12x = 18 + 8 \\\implies 13x = 26 \\ \implies x = \frac{26}{13} \\ \implies \huge \: \fbox{x = 2}$