Question
Find the value of
rounded to the nearest thousandth.
-0.300
0.301
0.302
-0.301
-0.300
0.301
0.302
-0.301
Ask by Hills Crawford. in the United States
Jan 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The value of
rounded to the nearest thousandth is -0.301.
Solution
To find
(assuming the logarithm is base 10), follow these steps:
-
Understand the Relationship:Since
, this simplifies to: -
Calculate
:
The logarithm of 2 in base 10 is approximately: -
Find
: Rounded to the nearest thousandth, this is:
Answer: -0.301
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To find
, we can use the property of logarithms that states
. Therefore:
Since
, this simplifies to:
Now, we need to find the value of
. The approximate value of
(base 10) is about 0.301. Consequently:
Rounding to the nearest thousandth gives us:
Thus, the value of
rounded to the nearest thousandth is
. The correct answer is:
-0.301