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JulijaS [17]
3 years ago
6

Can someone give 2 examples of a logarithmic equation with infinite solutions?

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Assuming what is meant by "infinite solutions" are infinite number of solutions of a logarithmic equation.  

\frac{1}{2}\log x^2 - \log \sqrt{x} - \log \sqrt{x} = 0

and

\frac{1}{2}x-2\ln e^x=-\frac{3}{2}x

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the vertices of a triangle are located at (-3,-1), (2,3),(5,2). record the triangles perimeter to the nearest whole number
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The perimeter of the triangle is approximately equal to 18

Step-by-step explanation:

The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)

The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

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Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41

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Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10

Therefore;

The perimeter of the triangle = The sum of the lengths of the sides of the triangle =  √41 + √73 + √10

The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094

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