Math, asked by palak198, 1 year ago

2 log10 8+log10 36-log 10(1.5) - 3 log 10 2

Answers

Answered by shanujindal48p68s3s
27
2 log(8) + log(36) - log(1.5) - 3 log(2)
We know that
 log(x) + log(y) = log(xy) \\ log(x) - log(y) = log( \frac{x}{y} )
Thus the question reduces to
 log( {8}^{2} ) + log(36) - log(1.5) - log({2}^{3})
 log(64 \times 36) - log( 12) \\ = log(64 \times 36 \times \frac{1}{12} ) \\ = log(64 \times 3) \\ = log(192)
Answered by nirali155
0

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