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Properties of Logs

Properties of Logs. Objective: Be able to use the properties of logarithms to expand and condense expressions. TS: Make decisions after reflection and review Warm-Up: Use the change of base formula to rewrite log a 7 as a ratio of (a) common logs and then (b) as a ratio of natural logs

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Properties of Logs

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  1. Properties of Logs Objective: Be able to use the properties of logarithms to expand and condense expressions. TS: Make decisions after reflection and review Warm-Up: Use the change of base formula to rewrite loga7 as a ratio of (a) common logs and then (b) as a ratio of natural logs Use your calculator to find log20130

  2. And don’t forget about Change of Base! Properties of Logarithms logbx + logby = __________ logbx – logby = __________ logbxa = ____________ Likewise… ln x + ln y = ln (xy) ln x – ln y = ln (x/y) lnxa = a(ln x)

  3. Use the properties to verify

  4. Use the properties to fully expand

  5. Use the properties to fully expand

  6. Use the properties to fully expand

  7. Use the properties to condense to a single logarithm

  8. Use the properties to condense to a single logarithm

  9. Use the properties to condense to a single logarithm

  10. Given logx2 = 3.28 and logx3 = 4.02 and logx5 = 5 . Find logx1.2

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