Question

Find x so that
$( \frac{5}{3} ) ^{ - 5} \times ( \frac{5}{3}) ^{ - 11} =( \frac{5}{3} ) ^{8x}$
​

Answer 1

Answer:

★Given :

$( \frac{5}{3} ) ^{ - 5} \times ( \frac{5}{3}) ^{ - 11} =( \frac{5}{3} ) ^{8x}$

★To Find :

• X

★Solution :

$\pink{✦} \: \: ( \frac{5}{3} ) ^{ - 5} \times ( \frac{5}{3}) ^{ - 11} =( \frac{5}{3} ) ^{8x}$

$\purple {\implies}( \frac{5}{3} )^{ - 5 - 11} = ( \frac{5}{3})^{8x}$

$\purple{\implies }( \frac{5}{3} )^{ - 16} = ( \frac{5}{3} )^{8x}$

$\purple{\implies }8x = - 16$

$\purple{\implies } \blue{x} = - \frac{16}{8} = \green{- 2 }$

Therefore, the value of X is -2

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Answer 2

Answer:

$\large\bf \underbrace\red{••♪ Answer :}$

=> $(35)−5×(35)−11=(35)8x$

$\space$

=$(35)−5−11=(35)8x$

$\space$

=$(35)−16=(35)8x$

$\space$

=$8x=−16$

$\space$

=$x=−816=−2$

$\space$

Therefore, the value of X is -2

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