Law of Logarithms Question

Question

Use the law of logarithms to rewrite the expression: log₅ (4)√x²+15 (The 4 is not in front of the square root. It is the 4th root.)

in a form with no logarithm of a product, quotient or power.

After rewriting we have: log₅ (4)√x²+15=A log₅ f(x)

With the constant A=

and the function f(x)=

Answer 1

log₅ (x² + 15)^1/4

(1/4)(log₅ (x² + 15))