Question

2 power 4 = square root 2 power of n-1. pls tell the answer​

Answer 1

n=9

Step-by-step explanation:

${2}^{4} = ( { \sqrt{2} )}^{n - 1}$

${2}^{4} = {2}^{ { \frac{1}{2} }^{n - 1} }$

${2}^{4} = {2}^{ \frac{n - 1}{2} }$

therefore

$4 = \frac{n - 1}{2}$

$4 \times 2 = n - 1$

$8 = n - 1$

$n = 8 + 1$

$n = 9$

i hope it will help u...❣️❣️