How do you solve $2^(3x) = 4$ ?

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Answer 1 · 2015-06-17T04:07:16

$color(red)(x=2/3$

$2^(3x) = 4$
$2^color(red)((3x)) = 2^color(red)(2$
As bases are equal we now equate the respective powers

$3x = 2$
$color(red)(x=2/3$

How do you solve 2^(3x) = 42^(3x) = 4?