Please solve fast.


v i i       log   2   +   16   log   16 15     +   12   log   25 24   +   7   log   81 80

Dear student

We have,log 2+16 log1615+12 log 2524 +7 log 8180=log 2+16 log16-log15+12 log 25-log 24 +7 log 81-log 80          ...[using logab=loga-logb]=log 2+16 log24-log3×5+12 log 52-log 23×3 +7 log 34-log 5×24=log 2+16 log24-log3+log5+12log 52-log 23+log3 +7 4log 3-log 5+log24         .....[using loga×b=loga+logb]=log 2+16 4log2-log3-log5+122log 5-3log 2-log3 +7 4log 3-log 5-4log2             ...[using logab=bloga]=log 2+64log2-16log3-16log5+24log 5-36log2-12log3 +28log3-7log 5-28log2=65log2-28log2-36log2-16log3-12log3+28log3-16log5+24log5-7log5=65log2-64log2-28log3+28log3-23log5+24log5=log2+log5=log2×5                                                   ...[using  loga×b=loga+logb]=log10=1

Regards

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