TheWeekdays01 TheWeekdays01
  • 03-04-2020
  • Mathematics
contestada

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

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 03-04-2020

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

Answer Link

Otras preguntas

Which of the following is not a purpose of credit counseling? O A. To provide borrowers with short-term loans O B. To help a borrower avoid bankruptcy O C. To h
a rectangle tank is 21cm long,13 cm wide and 18cm high and contains water up to a height of 11cm theb the volume of water in liters is?​
LIST THE BEST 10 UNIVERSITIES IN THE United Kingdom.
What is the solution set of the equation x²+3x-4=6
How did the Declaration of Independence help to expand america
Which word has the most negative connotation? A. Dull B. Calm C. Peaceful D. Quiet
It is said that parents are the best teachers. Do you agree or disagree with the statement? Write an essay of about 200 words to express your view
This leaf is green is A. an observation, B. a hypothesis. C. a theory As Corporation. All Rights Reseruar​
Need help with Sumerian Civilization
Help please((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((