Answer:
㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)Here subtraction of logarithm given. So we have to use the property of logarithm of quotient.The property says that㏒ₐ (M) - ㏒ₐ (N) = ㏒ₐ (M/N)So for subtraction we have to divide them. That is logarithm of difference becomes the quotient.So we can write,㏒₆ (18) - ㏒₆ (6) = ㏒₆ (18/6) If we divide 18 by 6 we will get 3.So, ㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)
Step-by-step explanation:
Answer:
-4x+y = -5
Step-by-step explanation:
Y+7=4(x-3)
Y+7=4x-12
+7. +7
Y=4x-5
-4x+y=-5
Answer: the simplified expression is
2y^15/(3x^5z^12)
Step-by-step explanation:
The given expression is
(-8x^2y^8z^-5) / (12^4y^-7z^7)
To simplify the given expression, we would apply one of the rules of indices. It is expressed as follows
x^a ÷ x^b = x^(a - b)
Applying the above rule of indices, the expression becomes
(-8/12 × x^(2 - 7) × y^(8 - - 7) × z^ (- 5 - 7)
= - 2/3 × x^- 5 × y^15 × z^-12
= - 2/3x^- 5y^15z^-12
= 2y^15/(3x^5z^12)