expand log(1125÷32)
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Answered by
5
Answer:
log (1125/32)
= log (3 cube×5 cube/2 power 5)
=log (3 square×5 cube)- log(2 power 5)
2log3+3log5-5log2
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Step-by-step explanation:
Answered by
2
Hey Mate,
Here Is Your Answer✔️
Answer:
log(1125)=2log(3)+3−3log(2)≈3.0511525225
Explanation:
It depends where you are starting from.
Suppose you know:
log(2)≈0.30102999566
log(3)≈0.47712125472
Then you can calculate a good approximation for log(1125)
1125=32⋅53=32⋅(102)3=32⋅10323
So:
log(1125)=log(32⋅10323)
=log(32)+log(103)−log(23)
=2log(3)+3log(10)−3log(2)
=2log(3)+3−3log(2)
≈2⋅0.47712125472+3−3⋅0.30102999566
≈3.0511525225
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