Question

if 289=17 ki power x/5 then find the value of x​

Answer 1

hope this helps you....

Answer 2

$\underline\green{\:\textsf{Answer}}$

= 10

$\underline{\:\textsf{Step-by-step Explanation}}$

According to the question-

$289 = {17}^{ \frac{x}{5} } \\ \\ 17 {}^{ \frac{1}{2} } = 17 {}^{ \frac{x}{5} } \\ \\ \frac{x}{5} = \frac{1}{2} \\ \\ x = 5 \times 2 \\ x = 10$

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