For whаt vаluе оf x does 3^4х = 27^x-3?

x = -9

Step-by-step explanation:

3^4х = 27^(x-3)

Replace 27 with 3^3

3^4х = 3^3^(x-3)

We know that a^b^c = a^ (b*c)

3^4х = 3^(3(x-3))

Since the bases are the same, the exponents are the same

4x = 3(x-3)

Distribute

4x =3x-9

Subtract 3x from each side

4x-3x = 3x-3x-9

x = -9

The answer is the more credit available, the higher the cost of housing. As more people are able to afford housing, it will increase the demand for housing. Since the supply of housing is largely stable in the short-term, this will cause higher housing costs.