<span> equilateral triangle is a triangle in which all three sides are equal. In traditional or Euclidean geometry equilateral <span>triangle
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We know that :
![ln(A) - ln(B) = ln(\frac{A}{B})](https://tex.z-dn.net/?f=ln%28A%29%20-%20ln%28B%29%20%3D%20ln%28%5Cfrac%7BA%7D%7BB%7D%29)
![aln(x) = ln(x)^a](https://tex.z-dn.net/?f=aln%28x%29%20%3D%20ln%28x%29%5Ea)
![ln(A) + ln(B) = ln(AB)](https://tex.z-dn.net/?f=ln%28A%29%20%2B%20ln%28B%29%20%3D%20ln%28AB%29)
Using above ideas we can solve the Problem :
⇒ ![\frac{3}{8}ln(x + 3) = ln(x + 3)^\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7Dln%28x%20%2B%203%29%20%3D%20ln%28x%20%2B%203%29%5E%5Cfrac%7B3%7D%7B8%7D)
⇒ ![ln(x - 3) - ln(x + 3)^\frac{3}{8} = ln[\frac{(x - 3)}{(x + 3)^\frac{3}{8}}]](https://tex.z-dn.net/?f=ln%28x%20-%203%29%20-%20ln%28x%20%2B%203%29%5E%5Cfrac%7B3%7D%7B8%7D%20%3D%20ln%5B%5Cfrac%7B%28x%20-%203%29%7D%7B%28x%20%2B%203%29%5E%5Cfrac%7B3%7D%7B8%7D%7D%5D)
⇒ ![4ln[\frac{(x - 3)}{(x + 3)^\frac{3}{8}}] = ln[\frac{(x - 3)}{(x + 3)^\frac{3}{8}}]^4 = ln[\frac{(x - 3)^4}{(x + 3)^\frac{3}{2}}]](https://tex.z-dn.net/?f=4ln%5B%5Cfrac%7B%28x%20-%203%29%7D%7B%28x%20%2B%203%29%5E%5Cfrac%7B3%7D%7B8%7D%7D%5D%20%3D%20ln%5B%5Cfrac%7B%28x%20-%203%29%7D%7B%28x%20%2B%203%29%5E%5Cfrac%7B3%7D%7B8%7D%7D%5D%5E4%20%3D%20ln%5B%5Cfrac%7B%28x%20-%203%29%5E4%7D%7B%28x%20%2B%203%29%5E%5Cfrac%7B3%7D%7B2%7D%7D%5D)
⇒ ![\frac{1}{3}lnx + ln[\frac{(x - 3)^4}{(x + 3)^\frac{3}{2}}] = ln(x)^\frac{1}{3} + ln[\frac{(x - 3)^4}{(x + 3)^\frac{3}{2}}] = ln[\frac{\sqrt[3]{x}(x - 3)^4}{\sqrt{(x + 3)^{3}}}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dlnx%20%2B%20ln%5B%5Cfrac%7B%28x%20-%203%29%5E4%7D%7B%28x%20%2B%203%29%5E%5Cfrac%7B3%7D%7B2%7D%7D%5D%20%3D%20ln%28x%29%5E%5Cfrac%7B1%7D%7B3%7D%20%2B%20ln%5B%5Cfrac%7B%28x%20-%203%29%5E4%7D%7B%28x%20%2B%203%29%5E%5Cfrac%7B3%7D%7B2%7D%7D%5D%20%3D%20ln%5B%5Cfrac%7B%5Csqrt%5B3%5D%7Bx%7D%28x%20-%203%29%5E4%7D%7B%5Csqrt%7B%28x%20%2B%203%29%5E%7B3%7D%7D%7D%5D)
Option 3 is the Answer
Answer:
integer
rational number
irrational number
Step-by-step explanation:
*integers are numbers that can be written without fraction components. either negative or positive.....
Answer:
18x + 28 is the perimeter
Step-by-step explanation:
As perimeter is the som of all side
So P = 6x+8 + 3x+6 + 6x+5 + 2x+2 + 3 + x+4
= 6x+3x+6x+2x+x + 8+6+5+2+3+4
= 18x + 28
X greater then or equal to -1