If 2^x = y, express the following in terms of y. 8( {4}^(x - 2) )

asked Jul 4, 2022 105k views

18 votes

If 2^x = y, express the following in terms of y.

$8( {4}^(x - 2) )$

by Deddu

7.5k points

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12 votes

Answer:
(y^(2) )/(2)

Explanation:

$2^(x) =y\\\\8(4^(x-2) )=8 \cdot (4^(x) )/(4^(2) ) =8 \cdot ((2^(x))^(2) )/(16 ) =8 \cdot ((2^(x))^(2) )/(8 \cdot 2 ) =(y^(2) )/(2)$

Electrodruid answered Jul 9, 2022

7.9k points

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