Problem

If $\log (x)=-0.123$, what does $x$ equal?
Express your answer numerically using three significant figures.
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Answer

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Answer

Rounding to three significant figures, the final answer is \(\boxed{0.753}\)

Steps

Step 1 :The question is asking for the value of \(x\) given that \(\log (x)=-0.123\). The logarithm function is the inverse of the exponential function. Therefore, to find the value of \(x\), we need to use the base of the logarithm (which is 10 if not specified) and raise it to the power of the value given (-0.123 in this case).

Step 2 :\(x = 10^{-0.123}\)

Step 3 :\(x = 0.7533555637337174\)

Step 4 :Rounding to three significant figures, the final answer is \(\boxed{0.753}\)

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