we have this expression
[tex]\log 7\cdot(8x+9y)[/tex]applying the properties of the logarithms, we get
[tex]\begin{gathered} \log _{10}\mleft(7\mright)\mleft(8x+9y\mright) \\ a\mleft(b+c\mright)=ab+ac;a=\log _{10}\mleft(7\mright),\: b=8x,\: c=9y \\ =\log _{10}\mleft(7\mright)\cdot\: 8x+\log _{10}\mleft(7\mright)\cdot\: 9y \\ =8\log _{10}\mleft(7\mright)x+9\log _{10}\mleft(7\mright)y \end{gathered}[/tex]then the answer would be
log7 8x + log7 9y
