Question

Find x:
2⁽²ˣ⁻¹⁾ - 9 × 2⁽ˣ⁻²⁾ + 1 = 0

Answer 1

Answer:

x = 2

Step-by-step explanation:

2power(2x).2pwr(-1) - 9×2pwr(x).2pwr(-2) + 1 =0

2pwr(2x).1/2 - 9×2pwr(x).1/4 + 1 =0

☆A power(-1) = 1/A

☆ let

2pwr(x)=a

a2/2 - 9a/4 +1 =0

taking LCM

2a2 - 9a + 4 = 0

use quadratic formula

a = (-B+_root B2 - 4AC)/2A ¤ -(-9)=9

put the values

a = (9+_root 81 - 32)/4

a = (9+_root 49)/4

a = (9+_7)/4

♧ take the positive answer

a = 16/4=4

a = 4

we know that

a = 2 power (x)

compare value of (a)

2 power (x) = 4 ♡ 4 = 2 pwr2

2 pwr (x ) = 2 pwr (2)

equat the power

x = 2.

marked me brainly

bohut mahnat karni pari yr likhna ma

suchii.