Chapter 4, Exponential and Logarithmic Functions - Section 4.4 - Laws of Logarithms - 4.4 Exercises - Page 395: 47

$$1/2*log{({x^2+4})-log{(x^3-7)-1/2log(x^2+1)}}$$

$$log\sqrt {\frac{x^2+4}{(x^3-7)^2*(x^2+1)}}$$ $$1/2*log{\frac{x^2+4}{(x^3-7)^2*(x^2+1)}}$$ $$1/2*log{({x^2+4})-1/2log{(x^3-7)^2-1/2log(x^2+1)}}$$ $$1/2*log{({x^2+4})-log{(x^3-7)-1/2log(x^2+1)}}$$