Question

Solve for n.

25n−3=5n+8
the n-3 and n+8 are powers

Answer 1

The answer is n=14. I am a 100% sure because i just took the test and got a 100 on it.

Answer 2

If you take the ln to both sides, the equation would be:

(n-3)ln25 = (n+8)ln5

This is because according to logarithm properties,
`ln a^(b) =b \ lna`
Transposing and combining like terms:

(n-3)/(n+8) = ln5/ln25
(n-3)/(n+8) = 1/2
2(n - 3) = n + 8

Distributing 2 to the terms inside the parenthesis,

2n - 6 = n + 8
Combining like terms,
2n - n = 8 + 6
n = 14