$3 \log_{10} 2 + 2 \log_{10} 3 + \log_{10} 5 = \log_{10} ?$ (Ex 4.2 Q3)

Using the power rule, $3\log 2 = \log 2^3 = \log 8$ and $2\log 3 = \log 3^2 = \log 9$. Adding the logs multiplies the arguments: .