Question

Final question, solve this equation and show work! Worth 20 points

Answer 1

N = 2.5

Explanation:

Ok, so try this.

125 is 5^3, right?

And in this equation, we have 5 to the power of 2n-2 is equal to 125.

You need to make sure that the exponent ends up as 3.

How would you do this?

Try substituting N for 3.

That's too big.

Try Substituting N for 2.

That's a bit too small.

What number is in between 2 and 3?

2.5 is.

N = 2.5

Check your work, and see if you came up with the same answer

Work:

2.5 x 2 = 5

5 - 3 = 2

5^3 = 125

Answer 2

`n=5/2`

Explanation:

We have the equation:

`5^(2n-2)=125`

Notice that 125 is the same as 5³. So:

`5^(2n-2)=5^3`

Since they have the same base, the exponents must be equal. Therefore:

`2n-2=3`

Solve for n. Add 2 to both sides:

`2n=5`

Divide both sides by 2:

`n=5/2=2.5`

So, the value of n is 5/2.

And we're done!