Question

4^2x is equal to 1 by 32​

Answer 1

Step-by-step explanation:

see the attached image

Answer 2

Answer:

x = -5/4

Step-by-step explanation:

Given

$4^{2x} = 1/32$

⇒$(2^{2})^{2x} = 1/(2^{5})$

⇒$2^{4x} = 1/(2^{5})$                   [∵$(a^{m})^{n} = a^{mn}$]

⇒$2^{4x} = 2^{-5}$                       [∵$1/a^{n} = a^{-n}$   ]

Bases are equal then powers are also equal

⇒$4x = -5$

∴x = -5/4