Question

expand log 19800????
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Answer 1

Solution :

2 | 19800

__________

2 | 9900

__________

2 | 4950

__________

3 | 2475

_________

3| 825

_________

5 | 275

_________

5 | 55

_________

****11

Now ,

19800 = 2³×3²×5²×11

log (19800)

= log(2³×3²×5²×11)

= log2³ + log3²+log5²+log11

=3 log 2+2 log3 +2 log 5 +log11

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