Answer:
x= 3.43
Step-by-step explanation:
First, use the distributive property and multiply 3 by x and 3 by 2:
3x + 6
next use the distributive property again and multiply 4 by x and -5:
4x - 20
Combine Like terms: 3x + 6 + 4x - 20
3x + 4x = 7x
6 - 20 = -14
Now Add 14 to both sides: 7x - 14 = 10
10 + 14 = 24
Now divide 7 by both sides: 7x = 24
24 / 7 = 3.428571429 = 3.43
Answer: Explanation below.
Step-by-step explanation:
First of all you need to know how to convert a logarithm into an exponential expression. The property is:

This is the same as: 
Example 1:

We are trying to find what to raise 9 to, in order to get a result of 9.

When you have same bases, you equal exponents.

Therefore; 
Example 2:


In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as:
which is 2*2*2*2*2
Rewriting this example we have;

Since we have the same base, we equal exponents.

Therefore; 
Example 3:


729 can have a base of 3 if expressed as: 


Answer:
9(x-y+9z)
Step-by-step explanation:
9x-9y+81z
factor out a 9
9(x-y+9z)
The function will be a decay function for
.. |1 +r| < 1
.. -1 < 1 +r < 1
.. -2 < r < 0
Any value of r in the interval (-2, 0) will make the function a decay function.
_____
If x can have non-integer values, then you probably want r ∈ (-1, 0).