Math, asked by lily8374, 1 year ago

prove that 3log7-2log5=log345/25​

Answers

Answered by Robin0071
5

Step-by-step explanation:

3 log(7)  - 2 log(5)  =   log\frac{343}{25}  \\ lhs \:  \:  \:  \:  \\ =   log( {7}^{3} )  -    log( {5}^{2} )  \\  log( \frac{343}{25} )  =  log( \frac{343}{25} )

proved

i hope its helpfull


lily8374: thanks ❤️
MehulPalod: Wrong Answer
MehulPalod: Cube of 7 is 343, not 345
lily8374: haha that's actually my doubt
Answered by MehulPalod
6

→3log7 - 2log5

→ log7³ - log5²

→ log (7³/5²)

→ log343/25

Hence Proved

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lily8374: thanks ❤️
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