Given:
[tex]\log (10^{6x})=?[/tex]
By the logarithmic property, we have:
[tex]\log (a^b)=b\log a[/tex]
We have,
[tex]\log (10^{6x})=6x\log 10[/tex]
Now, we know that log 10 =1, so
[tex]\begin{gathered} \log (10^{6x})=6x\log 10 \\ =6x\times1 \\ =6x \end{gathered}[/tex]
Hence, the required answer is 6x.
Therefore, OPTION D) 6x is correct.
