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Ib maths sl logarithms laws
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Ib maths sl logarithms laws

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  • 1. http://www.maths­bingo.com/A%20enviar/LogarithmsDetermine/LogarithmsDetermine.htmlRevision from previous lesson:
  • 2. LogarithmsBy the end of the lesson you will be able to:• Use the definition of logarithm to prove the laws for logarithms.• Apply the laws for logarithms  to simplify expressions.
  • 3. Exercise 4: Verify the following From worksheet:log2 4 + log2 8 = log2 32log3 9 + log3 3 = log3 27log 100 + log 10 = log 1000Find a general pattern for        loga x+loga y
  • 4. Conclusion:loga ( x y ) = loga x  + loga  yProof:loga x = mloga y = n⇒⇒Use index form:
  • 5. Exercise 4: Verify the following From worksheet:log2 64 ­ log2 16 = log2 4log3 81 ­ log3 3 = log3 27log5 3125 ­ log5 125 = log5 25Find a general pattern for        loga x ­ loga y
  • 6. Conclusion:Proof:loga x = mloga y = n⇒⇒Use index form:
  • 7. Exercise 4: Verify the following From worksheet:Find a general pattern for      n loga x
  • 8. Conclusion:n loga  x  = loga x n   Proof:loga x = m ⇒Use index form:
  • 9. Solve:log 125 + log 8 =2 log 5 + log 4 = 
  • 10. 3 log3 2 +log3(½) ­ log3 4=
  • 11. Solve Book page 60:  Ex  1 to 3 & 6 to 10
  • 12. At the end of the lesson:loga ( x y ) = loga x  + loga  yn loga  x  = loga x n   
  • 13. http://www.maths­bingo.com/A%20enviar/Logarithms%20Write%20as%20a%20single%20logs/LogarithmsWriteSingleLogs.html

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