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

Solve the following equation for x:

4^(2x)=1/32

#### 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