Answer:
-2/3
Step-by-step explanation:
Log125(1/25)=x
Raise each side to the base of 125
125^Log125(1/25)=125^x
1/25 = 125^x
Rewrite 25 as a power of 5 and 125 as a power of 5
1 / 5^2 = 5^3^x
The if power is in the denominator, we can bring it to the numerator by making it negative
5^-2 = 5^3^x
We know that a^b^c = a^(b*c)
5^-2 = 5^(3*x)
Since the bases are the same, the exponents are the same
-2 = 3x
Divide by 3
-2/3 = 3x/3
-2/3 =x
6x + 7(1-x) = -4(x-4)
6x + 7 - 7x = -4x + 16
-x + 7 = -4x + 16
-x + 4x = 16 - 7
3x = 9
x =9/3
x = 3
Answer: Y = 4x - 12
Step-by-step explanation:
Well, the reason for this is because y can be anything because there are 2 unknown terms in the equation. Thus, the answer to y can be many different answers. The one common thing that all of these answers have is that they have only 1 expression (An equation without equal sign) to solve it. This expression is the answer to y, but it can be changed judging by the answer of x. That is why you cannot determine an exact answer to y with there being many, so you have to write the expression to get y. Which you can find out by:
12 (Part) + y (Part) = 4x (Whole)
So to figure out one part do the whole minus the other part which is why 4x is our answer:
4x (Whole) - 12 (Other Part)
This is called part-whole postulate.
Hope this helps!
