(2^2x)−10(2^x)+16=0 (Hint: Let y=2^x).

shadsiei

shadsiei

Answered question

2021-03-09

(22x)10(2x)+16=0 (Hint: Let y=2x).

Answer & Explanation

firmablogF

firmablogF

Skilled2021-03-10Added 92 answers

As hinted, let y=2x so that the equation becomes:
22x10(2x)+16=0
(2x)210(2x)+16=0
y210y+16=0
Factor the left side:
(y−2)(y−8)=0
By zero product property,
y=2,8
Solve for xx by back-substituting y=2x
When y=2,
2x=2
2x=21
x=1
When y=8,
2x=8
2x=23
x=3
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-11Added 2605 answers

Answered on video

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