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Solve for x
(2^2/x) (2^4/x) = 2^12

Solve for x (2^2/x) (2^4/x) = 2^12-example-1

1 Answer

6 votes


\textsf{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve ~


\qquad \sf  \dashrightarrow \:(2 {}^{ (2)/(x) } ) \sdot(2 {}^{ (4)/(x) } ) = 2 {}^(12)


\qquad \sf  \dashrightarrow \:(2 {}^{ (2)/(x) + (4)/(x) } ) = 2 {}^(12)


\qquad \sf  \dashrightarrow \:(2 {}^{ (6)/(x) } ) = 2 {}^(12)

Now, since the base on both sides are equal, therefore their exponents are equal as well ~


\qquad \sf  \dashrightarrow \: (6)/(x) = 12


\qquad \sf  \dashrightarrow \:x = (6)/(12)


\qquad \sf  \dashrightarrow \:x = (1)/(2)

or


\qquad \sf  \dashrightarrow \:x = 0.5

Hope you got the required Answer ~

User Subchap
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