Question

find the value of x
​

Answer 1

$\bf\large\blue{Question\::-}$

• Find the value of x .

$\bf\large\blue{Solution\::-}$

$( ({ \frac{3}{4} )}^{ - 6} \div ( \frac{3}{4} ) ^{3} ) ^{x} = ( { \frac{3}{4}) }^{ - 9}$

$\implies (( { \frac{3}{4} )}^{ - 6 - 3} ) {}^{x} = { (\frac{3}{4} })^{9}$

$\implies( { \frac{3}{4} )}^{ - 9} ) {}^{x} = { (\frac{3}{4} })^{ - 9}$

$\implies( { \frac{3}{4} )}^{ - 9x} = ( { \frac{3}{4}) }^{ - 9}$

$\implies - 9x = - 9$

$\implies \: x = \frac{ \cancel{- 9} {}^{} }{ \cancel{ - 9} }$

$\implies \: x = 1$

$\bf\large\blue{Answer\::-}$

• The value of x is 1 .

________________________________________

$\bf\large\blue{Hope\: it\: helps\: you\: .}$

Answer 2

..........

value of x is 1