KnowledgeBoat Logo
|

Mathematics

If 42x=1324^{2x} = \dfrac{1}{32}, the value of x is :

  1. 1.25

  2. -1.25

  3. 1

  4. -1

Indices

6 Likes

Answer

Solving, the given expression :

42x=132(22)2x=12524x=254x=5x=54=1.25\Rightarrow 4^{2x} = \dfrac{1}{32} \\[1em] \Rightarrow (2^2)^{2x} = \dfrac{1}{2^5} \\[1em] \Rightarrow 2^{4x} = 2^{-5} \\[1em] \Rightarrow 4x = -5 \\[1em] \Rightarrow x = -\dfrac{5}{4} = -1.25

Hence, Option 2 is the correct option.

Answered By

6 Likes


Related Questions