Answer:
x = 4, x= -8
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Logarithms</u>
We need to recall these properties of logarithms:
The equation to solve is:
Applying logarithms:
Applying the exponent property on the left side and the product property on the right side:
Applying the exponent property:
Rearranging:
Factoring:
Solving:
Calculating:
Answer: Yes
Step-by-step explanation:
Yes, they are, because if you multiply 2*6=12 and 3*6=18, so here we multiplied both 2 and 3 by the same number (6) and we got the same result 12:18. This method also works with fractions.
The points of intersection are at (3, 6) and (-1, -2).
Since both of these equations have y isolated, we can set them equal to each other:
2x=x²-3
We want all of the variables on one side, so subtract 2x:
2x-2x = x²-3-2x
0=x²-3-2x
Write the quadratic in standard form:
0=x²-2x-3
This is easily factorable, as there are factors of -3 that will sum to -2. -3(1)=-3 and -3+1=-2:
0=(x-3)(x+1)
Using the zero product property we know that either x-3=0 or x+1=0; therefore x=3 or x=-1.
Substituting this into the first equation (it is simpler):
y=2(3) = 6
y=2(-1)=-2
Therefore the coordinates are (3, 6) and (-1, -2).
Answer:
3x+4=10
Step-by-step explanation:
three x = 3x
and four = 4
equals 10 = 10
3x+4=10