Question

if a^2n-1=1/a^n-3 find n​

Answer 1

Step-by-step explanation:

${a}^{2n - 1} = \frac{1}{ {a}^{n - 3} }$

${a}^{2n - 1} = {a}^{ - (n - 3)}$

$2n - 1 = - (n - 3)$

$2n - 1 = - n + 3$

$2n + n = 3 + 1$

$3n = 4$

$n = \frac{4}{3}$

Answer 2

Step-by-step explanation:

a^2n - 1 = a^-{n-3}

2n -1 = -n +3

3n =4

n = 4/3