Question

Find The Value Of x For Which
$\binom{5}{3}^{ - 4} \times \binom{5}{3}^{ - 5} = \binom{5}{3}^{ 3x}$
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Answer 1

Step-by-step explanation:

The Value Of x

$\\ ( { \frac{5}{3} })^{ - 4} \times ({ \frac{5}{3} )}^{ - 5} = ({ \frac{5}{3} })^{3x}$

$\\ ( { \frac{5}{3} })^{ - 4 - 5} = ({ \frac{5}{3}) }^{3x}$

$\\ ( { \frac{5}{3} })^{ - 9} = ({ \frac{5}{3} })^{3x}$

Now, equating the power coefficient :

$- 9 = 3x \\ x = - 3$