simplify 2 log 5+4 log 2 +½log 36-log 8
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Answer:
1/2log36+2log8−log1.5
Let us simplify the expression into single logarithm,
1/2log36+2log8−log1.5=log36
1/2
+log8
2
−log1.5
=log(6)
2×1/2
+log8
2
−log(15/10)
=log6+log64−(log15−log10)
=log(6×64)−log15+log10
=log(6×64×10)−log15
=log[(6×64×10)/15]
=log(4×64)
=log256
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