Question

Solve this please!!
This is indices!!
Best is brainliest!!

Answer 1

Answer:

$x_{12}$ = ± 2

Step-by-step explanation:

$2^{x}$ = y

y + $\frac{1}{y}$ = $\frac{17}{4}$ ..... (1)

(1) × 4y

4y² + 4 = 17y

4y² - 17y + 4 = 0

$y_{1}$ = $\frac{1}{4}$ = $2^{-2}$ ⇒ $2^{x}$ = $2^{-2}$ ⇒ $x_{1}$ = - 2

$y_{2}$ = 4 = 2² ⇒ $2^{x}$ = 2² ⇒ $x_{2}$ = 2

$x_{12}$ = ± 2