If 4^{4 x+1}= \frac{1}{64}, then the value of x is

RRB RPF RPSF SI and CONS Model Papers 7 with solutions

Question : 44 of 120

Marks: +1, -0

4^{4 x+1}= {1}/{64}

, then the value of

x

Solution:

(2)

4^{4 x+1}= {1}/{64}= {1}/{4^{3}}

⇒ 4^{4 x+1}=4^{-3}

⇒ 4 x+1=-3

⇒ 4 x=-4

⇒ x=-1

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