Question

solve 2²ⁿ+¹=4²ⁿ-¹, n is ___​

Answer 1

Answer:

${2}^{2n + 1} = {4}^{2n - 1} \\ \\ {2}^{2n + 1} = {2}^{2(2n - 1)} \\ \\ {2}^{2n + 1} = {2}^{4n - 2} \\ \\ \\ 2n + 1 = 4n - 2 \\ \\ 3 = 4n - 2n \\ \\ 2n = 3 \\ \\ n = \frac{3}{2}$

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Answer 2

Answer:

hey mate,

here's your answer

${2}^{2n + 1} = {2}^{2(2n - 1)}$

$bases \: are \: same \: so \: equating \: powers$

$2n + 1 = 4n - 2$

$4n - 2n = 2 + 1$

$2n = 3$

$n = \frac{3}{2}$

plz mark as brainliest