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

Al, adequate intakes are establisher only for minerals.TrueFalse
Which piece of evidence best supports a written argument encouraging students to eat less candy
What are the features of the function f(x) =-2^x+3
Lake Tahoe lies within the Sierra Nevada mountain range, and is one of the highest lakes in North America. The Pacific Ocean is about 300 kilometers to the west
Técnica de investigación que consiste en estudiar comunidades yculturas en línea para entender el porque de sus comportamientosy hábitos de consumoSeleccione un
What is the name of the device used to conduct an orchestra?A. A batonB. A bat0 с. А сгорOD. A club
Below are excerpts from a Research Introduction. Underline the words/phrases/sentences that show the techniques of expanding definition then, identify its typ
why does the hand hurt more when your hand is wet
mira los dobujos e indica lo que paso en cada uno.
Should Samantha Lease or Purchase? Samantha is considering the purchase of a Toyota Prius and has negotiated a final price of $19,895. She’s trying to decide wh