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

paolo earns $4 for each hour he tutors. he made $28 last week. write an equation using h to represent the hours he tutored. then solve the equation.
Which part of the Japanese language expresses social status
help me please if you do you will be marked as brainliest!!
Examine the equation. 4(x – 3) = 4x – 12 Which of the following is true? (Check all that apply.) It is a true statement. Any input will result in an equivalen
How did the network of european alliances cause world war i to develop?
There are an infinite number of points that lie on a period at the end of a sentence. True or False
the square of 9 less than number is 3 less then the number what is the number
The broad, slightly dome-shaped volcanoes of Hawaii are___. -shield volcanoes-composite cone volcanoes-pyroclastic valcanoes-cinder cone volcanoes
the new nation of czechoslovakia was found
Which statement best described the Indian removal act of 1830