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

Alex makes ceramic bowls to sell at a monthly craft fair in a nearby city. Every month, she spends $50 on materials for the bowls from a local art store. At the
How is carbon dioxide obtained?
How many light sources do you know Pls list them
copy this figure onto grid paper. draw line to divide the figure into 4 congruent polygons. how do you know the ploygons are congruent
Explain how engineers and scientists may work together to produce a protein in the lab.
why is red onions purple
If you multiply a number by five and then subtract negative ten, the difference is negative thirty. What is the number?
Factor completely, the expression: 2x^3-2x^2-12x
Jonathan has been on a diet since January 2013. So far, he has been losing weight at a steady rate. Based on monthly weigh-ins, his weight, w, can be modeled by
How is carbon dioxide obtained?