Question

Verify if the commutative properties of subtraction and division hold good for

$\frac{ - 3}{12}$
$\frac{ - 5}{ 12}$
​

Answer 1

Yes, you certainly want the two logarithms to the same base but there is nothing special about base 10. Since one logarithm is already to base "3x" I would be inclined to change the other to base 3x also. If $y= log_{x/3}(3)$ then $3= (x/3)^y= x^y/3^y$. So $x^y= 3^{y+1}$ and then $(3x)^y= 3^yx^y= 3^{2y+ 1}$. Taking the logarithm, base 3x, of both sides, $y= log_{3x}(3^{2y+1})= (2y+1)log_{3x}(3)$. Solving that for y, $(1- 2log_{3x}(3))y= log_{3x}(3)$ so $y= log_{x/3}(3)= \frac{log_{3x}(3)}{1- 2log_{3x}(3)}$

u

Answer 2

Answer:

see the attachment

Step-by-step explanation:

Dead_Cool Pro gamer

Subscribe