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Law of Indices

100

4⁰ is 

one

200

10⁷ /  10⁵=

10²=100

300

3m² x 4m⁷=

3 x 4 x m²⁺⁷= 12m⁹

400

log_bx=y in index form is

b^y=x

500

9³=729  in log form is

log₉729=3

Logarithm

100

what does the a meaning in  log_ax

a= base

200

Evaluate log₂8=

3

300

The exponential form of log₉x = 3 is

x=9³

400

log₂8+log₂4=

=5   

  log₂8=2³

   log₂4=2²

   ^{therefore 3+2=5}

500

solve for the value of x for log₃ x= log₃ 4+ log₃ 7

 x= 28.

Laws

100

Division Law

once the bases are the same powers should be subtracted

200

•The multiplication of two logarithmic values is equal to the addition of their individual logarithms.

Product Rule

300

which law states that when the bases are the same the powers must be added

multiplication Law

400

Quotient Rule

The division of two logarithmic values is equal to the difference of each logarithm.

500

Log_b (mn) = n log_b m demonstrate the 

Power Rule