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Mental Math
Solve for x

1) 32    3x - 2   = 16   4)   log81( 1 ) = x
                                     3

2)    1 = 64
      2x-1
                                       2
                         5)   log8x = 3
3) 3(52x - 9) = 375
Log Properties/ Theorems/ Laws


  single log        expanded log


               (M · N) = log




Extension:

          log 8 =       log 8
Use Log Laws to Evaluate Expressions


ex 1)   log6 8 + log6 9 - log6 2




ex 2)   log7 7√7




                               1
ex 3)   2log2 12 - (log2 6 +   3   log2 27)
Rewrite as a single log:

              (x - 2) - 3log




          alog3 -   logx - log(a + 1)




ex 3)     log7 x2 + log7 x - 5log7 x
                                2
Assignment:

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Day 3 examples

  • 1. Mental Math Solve for x 1) 32 3x - 2 = 16 4) log81( 1 ) = x 3 2) 1 = 64 2x-1 2 5) log8x = 3 3) 3(52x - 9) = 375
  • 2. Log Properties/ Theorems/ Laws single log expanded log (M · N) = log Extension: log 8 = log 8
  • 3.
  • 4. Use Log Laws to Evaluate Expressions ex 1) log6 8 + log6 9 - log6 2 ex 2) log7 7√7 1 ex 3) 2log2 12 - (log2 6 + 3 log2 27)
  • 5. Rewrite as a single log: (x - 2) - 3log alog3 - logx - log(a + 1) ex 3) log7 x2 + log7 x - 5log7 x 2