Math, asked by ka2t5priyazzysanj, 1 year ago

show that log 10800 = 4 log 2 + 3 log 3 + 2 log 5

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Answered by mysticd
28
lhs = log 10800

= log(2*2*2*2*3*3*3*5*5) [ write 10800 product of prime factors]
= log (2^4)* (3^3)*5^2

= log 2^4 + log 3^3 + log 5^2 [ ∵ log xyz = log x +log y +log z]

= 4log2 + 3 log 3 + 2 log 5 [ ∵ log a^n = n log a ]
= RHS
Answered by Atinshay
1

This is chemistry question.

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