Question

Please help me to solve this problem ​

Answer 1

`\LARGE{ \underline{ \tt{Required \: answer:}}}`

To Solve:

• 
  `\large\rm{ { (3)/(5) }^(x) . { (5)/(3) }^(2x) = (125)/(27) }`

Solution:

`\large\rm{ \leadsto { (5)/(3) }^( - x). { (5)/(3) }^(2x) = \frac{5 {}^(3) }{3 {}^(3) } }`

`\large \rm{ \leadsto \frac{5 {}^(2x - x) }{ {3}^(2x - x) } } = \frac{5 {}^(3) }{ {3}^(3) }`

`\large \rm{ \leadsto \frac{5 {}^(x) }{ {3}^(x) } = \frac{5 {}^(3) }{ {3}^(3) } }`

`\large\rm{ \leadsto { \bigg( (5)/(3) \bigg) }^(x) = \bigg( (5)/(3) \bigg) ^(3) }`

Then,

• 
  `\large{ \boxed{ \rm{x = 3}}}`

The required value of x is 3.

⛱️
`\large{ \blue{ \bf{FadedElla}}}`

Answer 2

x=3

Explanation: