Question

$( \frac{5}{4} ) {}^{5} \times (\frac{5}{4}) {}^{ - 10} = ( \frac{5}{4} ) {}^{3x}$
what is the value of x ?
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Answer 1

Answer:

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Step-by-step explanation:

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$( \frac{5}{4} ) {}^{5} \times (\frac{5}{4}) {}^{ - 10} = ( \frac{5}{4} ) {}^{3x} \\ \frac{5}{4} {}^{5 + ( - 10)} = \frac{5}{4} {}^{3x} \\ \frac{5}{4} {}^{ - 5} = \frac{5}{4} {}^{3x} \\ - 5 = 3x \\ x = \frac{ - 5}{3}$

Answer 2

Step-by-step explanation:

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=> ( 5/4 ) ^5 × ( 5/4 )^ -10 = ( 5/4) ^3x

=> ( 5/4 ) ^5 - 10 = ( 5/4) ^ 3x

=> ( 5/4 ) ^-5 = ( 5/4 ) 3x

so,

=> 3x = -5

=> X = -5/3