For whаt vаluе оf x does 3^4х = 27^x-3?
1 answer:
Answer:
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
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