Final question, solve this equation and show work! Worth 20 points
Answer:
[tex]n=5/2[/tex]
Step-by-step explanation:
We have the equation:
[tex]5^{2n-2}=125[/tex]
Notice that 125 is the same as 5³. So:
[tex]5^{2n-2}=5^3[/tex]
Since they have the same base, the exponents must be equal. Therefore:
[tex]2n-2=3[/tex]
Solve for n. Add 2 to both sides:
[tex]2n=5[/tex]
Divide both sides by 2:
[tex]n=5/2=2.5[/tex]
So, the value of n is 5/2.
And we're done!
Answer:
N = 2.5
Step-by-step 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