Question

2 upon 3 x minus 2 is equal to 3 upon X - 6​

Answer 1

3^x-2=3^x-6

x-2=x-6 ( base are same i.e we take x-2=x-6

2x=-4

x=-2

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Answer 2

The value of x will be "-6/7".

Step-by-step explanation:

$The \ given \ equation \ is:\\\frac{2}{3x-2}=\frac{3}{x-6} \\on \ applying \ cross \ multiplication,we \ get\\2(x-6)=3(3x-2)\\2x-12=9x-6\\On \ adding \ "6" \ on \ both \ sides,we \ get\\2x-12+6=9x-6+6\\2x-6=9x\\On \ subtracting \ "2x" \ from \ both \ sides,we \ get\\2x-6-2x=9x-2x\\-6=7x\\x=-\frac{6}{7}$

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