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L&E, 2ADV EQ-Bank 11

Evaluate \(\log _{3} 6\), giving your answer to 2 significant figures.   (2 marks)

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\(\log _{3} 6=1.6 \ \text{(2 sig fig)}\)

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\(\log _{3} 6=\dfrac{\log _e 6}{\log _e 3}=1.6309 \ldots=1.6 \ \text{(2 sig fig)}\)

Filed Under: Log Laws and Equations (Y11) Tagged With: Band 3, smc-6455-30-Logs - COB Rule, smc-6455-80-Significant Figures

L&E, 2ADV E1 2009 HSC 1f

Solve the equation  `lnx=2`. Give you answer correct to four decimal places.   (2 marks) 

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`7.3891`

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MARKER’S COMMENT: Write answers to enough decimal places before rounding up.
`ln x` `=2`
`log_e x` `=2`
`x` `=e^2`
  `=7.38905…`
  `=7.3891\ \ text{(to 4 d.p.)}`

Filed Under: Log Laws and Equations (Y11), Log/Index Laws and Equations, Log/Index laws and Other Equations Tagged With: Band 4, smc-6455-35-Log Definition, smc-6455-40-Logs - Other, smc-6455-80-Significant Figures, smc-963-40-Log - Other

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