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

How did theordore Roosevelt change the governments role in the food industry
who is the official leader of the state?
Determine the position in which a solid cylindrical block of wood of diameter 0.3 m and length 0.4 m will float in water. Take specific gravity of wood as 0.5
Prove the 'rule of 9': an integer is divisible by 9 if and only if the sum of its integers is divisible by 9.
If mBC in circle A is 60°, what is m2BDC? Α. 60° Β. 45° C. 30 D. 25
Find angle measures and use angles to classify triangles.
HIV be transmitted by: semen in the anus
Which major contribution did Mohammad Gandhi make to the Indian independence movement?
Which sentence refers to a dynamic character? A farmer sticks to an old method of farming while his peers adopt new methods. A man learns empathy after working
Prove by induction that all of the hexagonal numbers are odd. *(Problem from book is incorrect)