Question

(3/5)^x × (5/3)^2x


find the value of x=?

(Answer should be 3 )​

Answer 1

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Please refer to the Attachment above for your answer and step by step solution.

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Answer 2

Answer:

Step-by-step explanation:

The value of x is 3

Step-by-step explanation:

we have to find the value of x if

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

The equation is  

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

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

(\frac{5}{3})^{x}=\frac{125}{27}

(\frac{5}{3})^{x}=(\frac{5}{3})^3

Comparing, we get

x=3

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