Law of Exponents and the Law of Logarithms
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Transcript of Law of Exponents and the Law of Logarithms
THE LAW OF EXPONENTS AND THE LAW OF LOGARITHMS
BY MAXIMILIANO TORRESDEY & RODRIGO HUERECA LUCIO
• As you may remember, exponents represent the times a number multiplies itself:
• So exponents simplify this multiplication so that the numbers could be expressed faster.
THE PARTS OF A NUMBER WITH AN EXPONENT
83Exponent
Base
THE LAWS OF EXPONENTSLaw of multiplication:
Which basically means that when two numbers with the same base multiply, their exponents sum up.For example:
THE LAWS OF EXPONENTSLaw of divisionSimilar to the previous law, the law of division states that when two numbers with the same base divide, their exponents substract:
For example:
THE LAWS OF EXPONENTSLaw of Power of a Power
For example:
THE LAWS OF EXPONENTS
Law of Power of a product
For example:
QUICK REVIEWLaw of multiplication:
Law of division:
Law of power of a power:Law of Power of a product
LAWS OF LOGARITHMS
THE LAWS OF LOGARITHMSFirst LawThe sum of logarithms with the same base equals the multiplication of both logarithms:
logA + logB = logAB
THE LAWS OF LOGARITHMSSecond LawThe subtraction of logarithms with the same base equals the division between both logarithms:
logA - logB = logA/B
THE LAWS OF LOGARITHMSThird LawThe exponent of a logarithm also multiplies itself:
logAn=nlogA
SUMMARY OF THE LAWS OF LOGARITHMS
• First LawlogA + logB = logAB• Second Law
logA - logB = logA/B• Third LawlogAn=nlogA
END OF PRESENTATION