Question

Rewrite the expression log5(√(x^3+1)^3(x^2+5)^4/(x^2+4x+2)^5))^3

Answer 1

$$\log_5(\dfrac{\sqrt{(x^3+1)^3(x^2+5)^4}}{(x^2+4x+2)^5})^3$$

$$=\dfrac{9}{2}\log_5(x^3+1)+6\log_5(x^2+5)$$

$$-15\log_5(x^2+4x+2))$$