Respuesta :

09pqr4sT

Answer:

[tex]\Large \boxed{{n=5}}[/tex]

Step-by-step explanation:

10^2n-6 = 10,000

Make 10,000 with base 10.

10^2n-6 = 10^4

Cancel same bases.

2n-6 = 4

Add 6 to both sides.

2n = 10

Divide both sides by 2.

n = 5

ujalakhan18

Answer:

[tex]\huge\boxed{n = 5}[/tex]

Step-by-step explanation:

[tex]10^{2n-6} = 10,000[/tex]

Write 10,000 as a base of 10

[tex]10^{2n-6} = 10^4[/tex]

Comparing both sides , we get:

[tex]2n - 6 = 4[/tex]

Adding 6 to both sides

2n = 4+6

2n = 10

Dividing both sides by 2

n = 10 / 2

n = 5