Mongolo Mongolo
  • 09-05-2021
  • Mathematics
contestada

What value of n makes the equation true? Show your work.

What value of n makes the equation true Show your work class=

Respuesta :

amuratov
amuratov amuratov
  • 09-05-2021

Answer:

4

Step-by-step explanation:

[tex](7^5*7^n)^4 = (\frac{7^{16}}{7^n})^3[/tex]

[tex]7^{20}*7^{4n} = \frac{7^{48}}{7^{3n}}[/tex]

[tex]7^{7n} = \frac{7^{48}}{7^{20}}[/tex]

[tex]7^{7n} = 7^{28}\\[/tex]

[tex]n = 4[/tex]

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