Question

Please help me to solve this problem ​

Answer 1

Answer:

x=3

Step-by-step explanation:

Answer 2

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

To Solve:

• $\large\rm{ { \dfrac{3}{5} }^{x} . { \dfrac{5}{3} }^{2x} = \dfrac{125}{27} }$

Solution:

$\large\rm{ \leadsto { \dfrac{5}{3} }^{ - x}. { \dfrac{5}{3} }^{2x} = \dfrac{5 {}^{3} }{3 {}^{3} } }$

$\large \rm{ \leadsto \dfrac{5 {}^{2x - x} }{ {3}^{2x - x} } } = \dfrac{5 {}^{3} }{ {3}^{3} }$

$\large \rm{ \leadsto \dfrac{5 {}^{x} }{ {3}^{x} } = \dfrac{5 {}^{3} }{ {3}^{3} } }$

$\large\rm{ \leadsto { \bigg( \dfrac{5}{3} \bigg) }^{x} = \bigg( \dfrac{5}{3} \bigg) ^{3} }$

Then,

• $\large{ \boxed{ \rm{x = 3}}}$

The required value of x is 3.

⛱️ $\large{ \blue{ \bf{FadedElla}}}$