Question

Select the exact value of x that can be approximated to x≈0.41 when rounded to the nearest hundredth.

Answer 1

In order to find the correct option, let's calculate the value of x in each option and round it to the nearest hundredth:

`\begin{gathered} x=(log94)/(5log9) \\ x=(1.9731278)/(5*0.9542425) \\ x=(1.9731278)/(4.7712125) \\ x=0.41 \\ \\ x=(log65)/(12log14) \\ x=(1.8129)/(12*1.146128) \\ x=(1.8129)/(13.753536) \\ x=0.13 \\ \\ x=(log450)/(22) \\ x=(2.6532)/(22) \\ x=0.12 \\ \\ x=(3log66)/(log7) \\ x=(3*1.81954)/(0.8451) \\ x=(5.45862)/(0.8451) \\ x=6.46 \end{gathered}`

Therefore the correct option is the first one.