Solve 3log(x^2-6x)-3log(x+8)

$$3 \log ( x ^ { 2 } - 6 x ) - 3 \log ( x + 8 )$$

Factor

$$3\log_{10}\left(e\right)\left(\ln(x\left(x-6\right))-\ln(x+8)\right)$$

Solution Steps

Factor out 3.

$$3\left(\log_{10}\left(x^{2}-6x\right)-\log_{10}\left(x+8\right)\right)$$

Consider \ln(x^{2}-6x)\times \frac{1}{\ln(10)}-\ln(x+8)\times \frac{1}{\ln(10)}. Factor out \frac{1}{\ln(10)}.

$$\frac{\ln(x^{2}-6x)-\ln(x+8)}{\ln(10)}$$

Rewrite the complete factored expression.

$$\frac{3\left(\ln(x^{2}-6x)-\ln(x+8)\right)}{\ln(10)}$$

Evaluate

$$3\log(e)\left(\ln(x\left(x-6\right))-\ln(x+8)\right)$$