rosey7771 rosey7771
  • 03-08-2019
  • Mathematics
contestada

Solve 3^^^x−5 = 9.
A. x = −3
B.x = 2
C. x = 7
D. x = 8

Respuesta :

Katieg3593
Katieg3593 Katieg3593
  • 03-08-2019

Answer:

x=7

Step-by-step explanation:

3^(x-5)=9

3^(x-5)=3^2

x-5=2

x=7

Answer Link
carlosego
carlosego carlosego
  • 03-08-2019

For this case we must solve the following equation:

[tex]3^{x-5} = 9[/tex]

We rewrite:

[tex]9 = 3 ^ 2 = 3 * 3[/tex]

Then, replacing:

[tex]3^{x-5} = 3 ^ 2[/tex]

For the bases to be equal then it must be fulfilled that:

[tex]x-5 = 2[/tex]

Adding 5 to both sides of the equation:

[tex]x-5 + 5 = 2 + 5\\x = 7[/tex]

Answer:

[tex]x = 7[/tex]

Option C

Answer Link

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