if y=log750

then solve for y

y = log 750

\Rightarrow y = \log (2 \times 3 \times 5 \times 5 \times 5) \Rightarrow y = \log (2 \times 3 \times 5^{3}) we know, \log (a \times b \times c) = \log a + \log b + \log c \Rightarrow y = \log 2 + \log 3 + \log 5^{3} \Rightarrow y = \log 2 + \log 3 + 3 \log 5, we know \log a^{b} = b loga Now, we can put the respective values of \log 2, \log 3 and \log 5 and get the final answer . Hope it helps you!