Question

solve this ASAP!!!!!!!!!!!!!!!
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Answer 1

Answer:

Hope this will help you...

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Answer 2

Answer:

x = 2

Step-by-step explanation:

$Given : (\sqrt{\frac{5}{3}})^{x - 8} = (\frac{27}{125})^{2x - 3}$

$\Rightarrow (\frac{5}{3})^{\frac{1}{2}(x - 8)} = (\frac{3}{5})^{3(2x - 3)}$

$\Rightarrow (\frac{5}{3})^{\frac{1}{2}(x - 8)} = (\frac{5}{3})^{-3(2x - 3)}$

If the base is the same on either side of the equation, then the exponents are the same.

⇒ (1/2)[x - 8] = -3(2x - 3)

⇒ (x - 8)/2 = -6x + 9

⇒ x - 8 = 2(-6x + 9)

⇒ x - 8 = -12x + 18

⇒ 13x = 26

⇒ x = 2

Hope it helps!