Answer:
ln(28.1) ≈ 3.336
log(2/5) ≈ -0.398
Explanation:
In this question, we are asked to find the natural log of 28.1 and the log base 10 of 2/5, rounded to the nearest thousandth.
The natural log of a number x is what power the constant e is raised to to get x.
For example,
ln(e²) = 2
We can approximate ln(28.1) by inputting it into a calculator.
ln(28.1) ≈ 3.33576957634
Then, we can round this to the nearest thousandth.
ln(28.1) ≈ 3.336
Notice how the 7 in the ten-thousandths place is greater than or equal to 5, so we round the thousandths place digit up to 6.
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The log base 10 of a number x is what power the number 10 is raised to to get x. However, note that since log base 10 is the "common log" the base of 10 is not always specified.
log(2/5) ≈ -0.398
Notice how the output is negative, since 2/5 is less than 1 (and any number to the zeroth power is 1).