Respuesta :

Part A

[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]

Part B

Some common choices for base:

  • 2
  • 3
  • 10

Part C

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]

1.58 is the value when rounded to nearest hundredth.