Answer:
no solutions
Step-by-step explanation:
Since the two terms have the same base, we are able to use the rule for subtracting logarithms:
Therefore, the equation can be written as:
By using the definition of a logarithm we can say that:
When plugging this solution in, you find that the term 
has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so 
is not a valid solution. This means that there are no solutions.
Answer:
-20
Step-by-step explanation:
6(-3) - |-5| + |3|
First multiply
-18 - |-5| + |3|
Then take the absolute values
-18 - 5 + 3
Subtract
-23 +3
Add
-20
4n + 8 = n - 7
(In which 'n' represents the unknown number)
(4n + 8): "Eight more than the product of four and a number"
(= n - 7): "Is equivalent to seven less than the same number in equation form."
Subtract 8 from both sides:
4n = n - 15
Subtract n from both sides:
3n = -15
Divide both sides by 3:
n = -5
Answer:
Step-by-step explanation:
Vertex of the given parabola = (1, -4)
Since, vertex form of a parabola is given by,
y = (x - h)² + k
Here (h, k) is the vertex
Now substitute the coordinates (1, -4) in the equation.
y = (x - 1)²- 4 [Vertex Form]
Further solve this equation,
y = x² - 2x + 1 - 4
y = x² - 2x - 3 [Standard form]
Further write this equation in the factored form,
y = x² - 3x + x - 3
y = x(x - 3) + 1(x - 3)
y = (x + 1)(x - 3) [Factored form]
