# How do you solve 2^x=0.5 ?

Helen Lewis 2021-12-25 Answered
How do you solve ${2}^{x}=0.5$ ?
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jean2098
We know that for any
Here, $a=2$ and $b=0.5$ So we take
${\mathrm{log}}_{2}0.5=-1$
So $x=-1$
###### Not exactly what you’re looking for?
zurilomk4
Explanation:
Rewrite 0.5 as $\frac{12}{}$, then make the exponents equal each other.
${2}^{x}=0.5$
${2}^{x}=\frac{12}{}$
${2}^{x}=\frac{1}{{2}^{1}}$
${2}^{x}={2}^{-1}$
${2}^{x}={2}^{-1}$
$x=-1$
karton