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