Solve 1/3(loga+2logb)-3(logk+logh)

$$\frac { 1 } { 3 } ( \log a + 2 \log b ) - 3 ( \log k + \log h )$$

Factor

$$\frac{\log_{10}\left(e\right)\left(\ln(a)+2\ln(b)-9\ln(h)-9\ln(k)\right)}{3}$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{\log_{10}\left(a\right)+2\log_{10}\left(b\right)-9\left(\log_{10}\left(k\right)+\log_{10}\left(h\right)\right)}{3}$$

Evaluate

$$\frac{\log(e)\left(\ln(a)+2\ln(b)-9\ln(h)-9\ln(k)\right)}{3}$$