Answer:
12
Step-by-step explanation:
each letter can be used with each other 3 times and there are 4 letters so 12
The range of the equation is 
Explanation:
The given equation is 
We need to determine the range of the equation.
<u>Range:</u>
The range of the function is the set of all dependent y - values for which the function is well defined.
Let us simplify the equation.
Thus, we have;

This can be written as 
Now, we shall determine the range.
Let us interchange the variables x and y.
Thus, we have;

Solving for y, we get;

Applying the log rule, if f(x) = g(x) then
, then, we get;

Simplifying, we get;

Dividing both sides by
, we have;

Subtracting 7 from both sides of the equation, we have;

Dividing both sides by 2, we get;

Let us find the positive values for logs.
Thus, we have,;


The function domain is 
By combining the intervals, the range becomes 
Hence, the range of the equation is 
Answer:
The 3 possible values of x are;
6, 4 and 2
Step-by-step explanation:
If the triangle is isosceles, then two of the sides must be equal
So we equate the sides, 2 at a time to get the different values of x
3x + 4 = 2x + 10
3x-2x = 10-4
x = 6
3x + 4 = x + 12
3x-x = 12-4
2x = 8
x = 8/2 = 4
2x + 10 = x + 12
2x - x = 12-10
x = 2
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