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प्रश्न
Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50
उत्तर
log 144 - log 72 + log 150 - log 50
= log (24 x 32) - log (23 x 32) + log (2 x 3 x 52) - log (2 x 52)
= log 24 + log 32 - {log 23 + log 32} + log 2 + log 3 + 52 - {log 2 + log 52}
= 4 log 2 + 2 log 3 - 3 log 2 - 2 log 3 + log 2 + log 3 + 2 log 5 - log 2 - 2 log 5
= log 2 + log 3
= log (2 x 3)
= log 6.
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