There all log base 3, the base won't matter as long as they're all the same.
log(x^2/y)=2log(x)-log(y)=2(4.5)-3=6
Answer: c. 6
Answer: It has no solution.
Step-by-step explanation:
3x - 12 - 4 = 3x + 4 - 4
3x - 8 = 3x
3x - 8 - 8 = 3x - 8
we can't subtract 3x-8
Doesn't add up; they need to have one solution or more for it to work.
Answer:
A. -45
Step-by-step explanation:
multiplying a positive an a negative number gives out a negative result
so when we multiple 9 with -5 the result is -45
1) Expression 1: 16x^3 y
2) Expression 2: 24 xy^5
Procedure:
1) find the greatest common factor of the coefficients, 16 and 24:
16 = 2^4
24 = (2^3)*3
=> greatest common factor = 2^3 = 8
2) find the greatest common factor of x^3 y and xy^5
That is the common letters each raised to the lowest power:
=> xy
3) Then, the result is 8xy
Let's actually find the roots, using the quadratic formula:
<span>p(x)=x^2+x+3 gives us a=1, b=1 and c=3.
-1 plus or minus sqrt(1^2-4(1)(3))
Then x = -----------------------------------------------
2
The discriminant here is negative, so the roots x will be complex:
-1 plus or minus sqrt(-11) -1 plus or minus i*sqrt(11)
x = ---------------------------------- = -------------------------------------
2 2
These are irrational roots; they cannot be expressed as the ratios of integers.</span>
