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irga5000 [103]
2 years ago
7

The midpoint between Cascade and Axton on a map is located at (3, -6). Cascade is located at the point (1, 2).

Mathematics
1 answer:
Anna007 [38]2 years ago
3 0

Answer:

uuuuuuuuuuuuuuuuuughuy

Step-by-step explanation:

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Read 2 more answers
Ln(x+2)-ln(4x+3)=ln(1/2*x)
iris [78.8K]
<span>ln(x+2)-ln(4x+3)=ln(1/2*x)

Using properties of  logarithms

</span>\frac{ln(x+2)}{ln(4x+3)} = ln  \frac{x}{2}&#10;\\ \\  \frac{x+2}{4x+3} = \frac{x}{2} &#10;\\ \\2(x+2)=x(4x+3)&#10;&#10;2x+4=4x^2+3x&#10;\\ \\ 4 x^{2} +x-4=0&#10;\\ \\ x= \frac{-b+/- \sqrt{b^{2}-4ac} }{2a} &#10;\\ \\ x= \frac{ -1+/-\sqrt{1+64} }{8} &#10;\\ \\ x_{1} =  \frac{-1+ \sqrt{65} }{8} &#10;\\ \\ x_{2} = \frac{-1- \sqrt{65} }{8} &#10;&#10;Check:&#10;&#10;When you substitute x_{2} into&#10;\\ \\ ln(4x+3)=ln(4* \frac{-1- \sqrt{65} }{8} ) =ln( \frac{-1- \sqrt{65} }{2} ) &#10;&#10;you will get negative number under ln,  that is impossible ,&#10;&#10;&#10;
<span>
so x2 is not a solution of this logarithmic equation.

Only x1 is a solution.


</span>
3 0
3 years ago
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