Question
Solve the equation
to the nearest thousandth. Write out an over/under table and take
a photo and upload it in question 6 below. Your process for determining the value of
should be
evident from your table. The3 column headings should be "
", "
" and “Over/Under.”
(1 point)
a photo and upload it in question 6 below. Your process for determining the value of
evident from your table. The3 column headings should be "
(1 point)
Ask by Jimenez Todd. in the United States
Jan 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To solve the equation
to the nearest thousandth, we can use logarithms. Here’s a step-by-step approach with an over/under table:
Step 1: Take the Natural Logarithm of Both Sides
Step 2: Calculate the Logarithms
Over/Under Table
|
|
Over/Under |
---|---|---|
2.560 |
|
Exact |
2.561 |
|
Exact |
2.562 |
|
Exact |
From the calculations, the value of
that satisfies the equation
to the nearest thousandth is:
Answer:
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Beyond the Answer
To solve the equation
to the nearest thousandth, we can use a method called the “over/under” table to approximate the value of
.
First, let’s create a table with some values of
to determine where
falls in relation to 580:
|
|
Over/Under |
---|---|---|
2.205 | 44.66 | Under |
2.565 | 586.52 | Over |
2.561 | 580.03 | Approximates |
2.583 | 592.21 | Over |
Based on this table, you can see that
is under 580 and
is over it. It looks like
gives a value much closer to 580. Therefore, the solution to the equation
to the nearest thousandth is
.