In order to find the correct option, let's calculate the value of x in each option and round it to the nearest hundredth:
[tex]\begin{gathered} x=\frac{log94}{5log9} \\ x=\frac{1.9731278}{5*0.9542425} \\ x=\frac{1.9731278}{4.7712125} \\ x=0.41 \\ \\ x=\frac{log65}{12log14} \\ x=\frac{1.8129}{12*1.146128} \\ x=\frac{1.8129}{13.753536} \\ x=0.13 \\ \\ x=\frac{log450}{22} \\ x=\frac{2.6532}{22} \\ x=0.12 \\ \\ x=\frac{3log66}{log7} \\ x=\frac{3*1.81954}{0.8451} \\ x=\frac{5.45862}{0.8451} \\ x=6.46 \end{gathered}[/tex]
Therefore the correct option is the first one.
