Question

If(5/3)^x *(3/5)^2x=27/125 find x​

Answer 1

Answer:

value of x is 3 i.e X= 3..........

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\sf({ \frac{5}{3} )^x \times (\frac{3}{5})^{2x} = \frac{27}{125} }$

$\sf{5^{x - 2x} \times 3^{2x - x} = \frac{27}{125} }\\\sf{5^{ - x} \times 3^x = \frac{27}{125} \rightarrow \frac{3^x}{5^x} = \frac{3^3}{5^3} \rightarrow x = 3 }$