Question

-2(x+2) =6 -ax

In the equation shown above a is the constant. Which of the following values of a results in an equation with exactly one solution?

Answer 1

Use Negative Power Rule:
x
−
a
=
1
x
a
x
​−a
​​ =
​x
​a
​​
​
​1
​​ .

Multiply both sides by
6
a
x
6
​ax
​​ . Divide both sides by
−
2
−2. Divide both sides by
x
+
2
x+2. Simplify
1
2
x
+
2
​x+2
​
​
​2
​
​1
​​
​​ to
1
2
(
x
+
2
)
​2(x+2)
​
​1
​​ . Use Definition of Common Logarithm and for last : Divide both sides by
x
x.