Question

2. Evaluate : log 5 + 16 log
625/6+12 log(4/375)+7log(81/1250)
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Answer 1

Answer:

73 log 5 + 23 log 2 + 56 log 3

Step-by-step explanation:

log 5 + 16 log625/6 + 12 log(4/375) + 7log(81/1250)

=log 5+ 16 (log 625 +log 6) +12( log 4+log375)+7( log 81-log 1250 )

=log 5 +16 log 5⁴+16 log 6+12 log 2² +12 log (5² x 15)+7log 3⁴--7 log (2x5⁴)

=log 5+64log 5 +16 log 6 +24 log 2 +24 log 5 +12 log 15 +28 log 3 -7 log 2

- 28 log 5

=61 log 5+ 16 log 2 +16 log 3 +24 log 2 + 12 log 5+ 12 log3 +28 log 3 -7 log2

=73 log 5 + 23 log 2 + 56 log 3