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$$\log_{10} x = 0.5$$

I know if $\log_{10} x = 2$ then $x$ is $100$ but I don't know how to work out for a non obvious answer.

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To find the answer, we convert from logarithmic form to exponential form.

$\log_{10} x = 0.5 \iff 10^{\frac{1}{2}}=x$.

Then just use your calculator. The general formula is $\log_b x = p \iff b^p=x.$

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$$\log_bn=p\Leftrightarrow b^p=n.$$

I chose $b$ for base, $p$ for power and $n$ for number.

You need to know what $10^{0.5}=10^{1/2}$ is to answer your specific question.

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