Question

3ˣ = 9 and 4ⁿ = 64 find the value of n/x-x/n​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

${3}^{x} = 9 \: \: \\ {3}^{x} = {3}^{2} \\ x = 2\\ {4}^{n} = 64 \\ {4}^{n} = {4}^{3} \\ n = 3 \ \\ \\ \ \frac{n}{x} - \frac{x}{n} \\ = \frac{3}{2} - \frac{2}{3} \\ \\ = \frac{9 - 4}{6} \\ \\ = \frac{5}{6}$