# If log (x) = -0.123, what does x equal Express your answer numerically using three significant figures. [Solved] 0.753

You saw in the previous part that log(102)=2. In other words, log and power of 10 are inverse operations; one cancels out the other. For this reason, 10x is often called the antilog of x.
For log(x)=0.123 we want to undo the log, so we must make the whole quantity a power of 10. And what we do to the left side we must also do to the right side of the equation. So
log(x) = 0.123
10log(x) = 100.123
x = 100.123

You saw in the previous part that log(102)=2. In other words, log and power of 10 are inverse operations; one cancels out the other. For this reason, 10x is often called the antilog of x.
For log(x)=0.123 we want to undo the log, so we must make the whole quantity a power of 10. And what we do to the left side we must also do to the right side of the equation. So
log(x) = 0.123
10log(x) = 100.123
x = 100.123

Source(s): Mastering Chemistry

This post is last updated on hrtanswers.com at Date : 1st of September – 2022

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