Math, asked by adarshsharmakali, 10 months ago

7. Prove that
log 41/35 + log 70 - log 41/2 +2log 5 = 2​

Answers

Answered by prativasahu2
16

=>log 41/35 + log 70 - log 41/2 + 2log 5 = 2

=>(log 41 - log 35) + log 70 - (log 41 - log 2) + log 5^2 = 2

=>log 41 - log 35 + log 70 - log 41 + log 2 + log 25 = 2

=>log [(41 * 70 * 2 * 25)/(35 * 41)] = 2

=>log 2 * 25 * 2 = 2

=>log 4 * 25 = 2

=>log 100 = 2

Hence, proved.

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