Answer:
x = 2
Step-by-step explanation:
Taking antilogs, you have ...
2³ × 8 = (4x)²
64 = 16x²
x = √(64/16) = √4
x = 2 . . . . . . . . (the negative square root is not a solution)
___
You can also work more directly with the logs, if you like.
3·ln(2) +ln(2³) = 2ln(2²x) . . . . . . . . . . . write 4 and 8 as powers of 2
3·ln(2) +3·ln(2) = 2(2·ln(2) +ln(x)) . . . . use rules of logs to move exponents
6·ln(2) = 4·ln(2) +2·ln(x) . . . . . . . . . . . . simplify
2·ln(2) = 2·ln(x) . . . . . . . . . . . subtract 4ln(2)
ln(2) = ln(x) . . . . . . . . . . . . . . divide by 2
2 = x . . . . . . . . . . . . . . . . . . . take the antilogs
9.625 in decimals hope this helps
Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:
Which means that option E is correct.
The <em>volume of a cube</em> of side length l is given by:
For Cube A, the volume is of 9 cubic inches, hence:
![l_a = \sqrt[3]{9}](https://tex.z-dn.net/?f=l_a%20%3D%20%5Csqrt%5B3%5D%7B9%7D)
For Cube B, the volume is of 5 cubic inches, hence:
![l_b = \sqrt[3]{5}](https://tex.z-dn.net/?f=l_b%20%3D%20%5Csqrt%5B3%5D%7B5%7D)
Then, the ratio is:
To learn more about the volume of a cube, you can take a look at brainly.com/question/13030328
<h2>-3n where n can be (-∞ to +∞)</h2><h2>hope it helped :-)</h2>
Answer:
50 you welcome
Step-by-step explanation:
jgjgkgjggkgkgjgjvjckggpggkgkck
