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Solve the Following Equation For X: `4^(2x)=1/32` - Mathematics

Solve the following equation for x:

`4^(2x)=1/32`

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Solution

`4^(2x)=1/32`

`rArr(2^2)^(2x)=1/2^5`

`rArr2^(4x)xx2^5=1`

`rArr2^(4x+5)=2^0`

⇒ 4x + 5 = 0

⇒ 4x = -5

`rArr x=-5/4`

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.1 | Q 8.4 | Page 12
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