Question

Find the value of x in (81)5/x=243. here 5/x is the exponent of 81.

Answer 1

HEY MATE,
Here is your answer
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${81}^{ \frac{5}{x} } = 243 \\ ({3}^{4) { \frac{5}{x} } } = {3}^{5} \\ {3}^{ \frac{20}{x} } = {3}^{5}$
Since bases are same, equating the powers

$= > \frac{20}{x} = 5 \\ = > x = \frac{20}{5} \\ = > x = 4$
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Hope this helps!!!

Answer 2

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Plz see the attachment ✔✅

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