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Solve the Following Equations for X: `2^(2x)-2^(X+3)+2^4=0` - Mathematics

Solve the following equations for x:

`2^(2x)-2^(x+3)+2^4=0`

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Solution

`2^(2x)-2^(x+3)+2^4=0`

`rArr(2^x)^2-(2^xxx2^3)+(2^2)^2=0`

`rArr(2^x)^2-2xx2^xxx2^2+(2^2)^2=0`

`rArr(2^x-2^2)^2=0`

⇒ 2x - 22 = 0

⇒ 2x = 22

⇒ x = 2

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.1 | Q 9.1 | Page 12
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