Law of Logarithm Help?

[Stephanie S]

Use the Laws of Logarithms to combine the expression.

5ln(8) + 5ln(x) - 5ln(x^2+8)

 

[alwbsok]

Here are the laws needed:

ln(a) + ln(b) = ln(ab)

ln(a) - ln(b) = ln(a/b)

n * ln(a) = ln(a^n)

Simplifying the expression:

5ln(8) + 5ln(x) - 5ln(x^2 + 8)
ln(8^5) + ln(x^5) - ln((x^2 + 8)^5)
ln(8^5 * x^5 / (x^2 + 8)^5)

 

[Paula]

[5ln(8x)]/[5ln(x^2 + 8)]

Or:

[ln(8x^5)]/[ln(x^2 + 8)^5]