Solve the equation $2^{3x}=0.25$

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godwin_ibrahimTyro

Asked: November 25, 20202020-11-25T12:38:13+00:00 2020-11-25T12:38:13+00:00In: Algebra

Solve the equation $2^{3x}=0.25$

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Solve the equation $2^{3x}=0.25$

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Sengemegz · Answer 1 · 2020-12-10T16:32:23+00:00

Sengemegz Moderator

2020-12-10T16:32:23+00:00Added an answer on December 10, 2020 at 4:32 pm

$2^{3x}=0.25$
change decimal to fraction
$\Rightarrow 2^{3x}=\dfrac{25}{100}$
$\Rightarrow 2^{3x}=\dfrac{1}{4}$
$\Rightarrow 2^{3x}=4^{-1}$
change 4 to the power of 2
$\Rightarrow 2^{3x}=2^{-2}$
equating powers
$\Rightarrow 2x=-2$
dividing both side by 2
$\therefore x=-1$

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Solve the equation $2^{3x}=0.25$