Question

Hola mate ,
:-) :-) How are you :-) :-)
hers your question for today :-
Find the value of x in the following cases with explanation :-
$( {4}^{x} )^{2} = {2}^{32}$
:-) :-) Thnx :-) :-)

Answer 1

Answer:

$(4^{x} )^{2} = 2^{32} \\\\\implies (2^{2} )^{2x} = 2^{32}\\\\\implies (2)^{4x} = 2^{32} \\\\\text{Bases are same so equating the powers we get,} \\\\\implies 4x = 32\\\\\implies x = \dfrac{32}{4} = 8$

Hence the value of x is 8.