Show that : 2.log(8/45)+3.log(25/8)-4.log(5/6)=log2

Show that : 2.log(8/45)+3.log(25/8)-4.log(5/6)=log2


3 Answers

Aman Bansal
592 Points
11 years ago

Dear Anurag,

Use the following logarithmic properties

  1. logb(xy) = logbx + logby.
  2. logb(x/y) = logbx - logby.
  3. logb(xn) = n logbx.          
  4. logbx = logax / logab.     

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Aman Bansal

Askiitian Expert

renu akunuri
37 Points
11 years ago
by using identies the problem can be solved as

=  -log8-2log45+6log5-4log5+2log36

= -log8-2log45+2log 5+2log36

= -log8+2log (5*36)/45

=-log8 +2log 4

= - log8+ log16

= log 16/8

=log 2

15 Points
5 years ago
= -log8-2log45+6log5-4log5+4log6
= -log8-2log45+2log5+4log6
= -3log2-2log5-4log3+2log5+4log2+4log3
= log2

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