Answer:
x = 10
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• log
⇔ n log x
• log x = log y ⇒ x = y
Given
ln20 + ln5 = 2 lnx , then
ln(20 × 5) = ln![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
ln 100 = ln
, hence
x² = 100 ( take the square root of both sides )
x = 10
You have to solve this algebraicly.
To do this set up the proportion and add x to each term.
You get 4x and 7x
Set this equal to 33
4x+7x=33
Combine like terms and get 11x=33
Divide by 11
x=3
Now go back to 4x and 7x
Multiply them by x and get 12(4×3=12) and 21(7×3=21)
One group is 12 and the other is 21.
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![= 7( - 4) - | - 6| + |4|](https://tex.z-dn.net/?f=%20%3D%207%28%20-%204%29%20-%20%20%7C%20-%206%7C%20%20%2B%20%20%7C4%7C%20)
![= - 28 - | - 6 | + |4|](https://tex.z-dn.net/?f=%20%3D%20%20-%2028%20-%20%20%7C%20-%206%20%7C%20%20%2B%20%20%7C4%7C%20)
![= - 28 - 6 + |4|](https://tex.z-dn.net/?f=%20%3D%20%20-%2028%20-%206%20%2B%20%20%7C4%7C%20)
![= - 34 + |4|](https://tex.z-dn.net/?f=%20%3D%20%20-%2034%20%2B%20%20%7C4%7C%20)
![= - 34 + 4](https://tex.z-dn.net/?f=%20%3D%20%20-%2034%20%2B%204)
![= - 30](https://tex.z-dn.net/?f=%20%3D%20%20-%2030)
The absolute value of a real number a is a when a≥0, or -a when a<0. The absolute value of -6 is 6. The absolute value of 4 is 4.
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Answer:
The angle corresponding to angle 4 is angle 8
I cant see anything there needs to be more to the question