Question

Solve 10^2n-6=10,000

Answer 1

`\Large \boxed{{n=5}}`

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

Answer 2

`\huge\boxed{n = 5}`

Explanation:

`10^(2n-6) = 10,000`

Write 10,000 as a base of 10

`10^(2n-6) = 10^4`

Comparing both sides , we get:

`2n - 6 = 4`

Adding 6 to both sides

2n = 4+6

2n = 10

Dividing both sides by 2

n = 10 / 2

n = 5