Question

write 2 log3+3 log5-5 log 2 as a singel logarithm
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Answer 1

Answer:

$2 log(3 ) + 3 log(5) - 5 log(2) \\ = log( {3}^{2} ) + log( {5}^{3} ) - log( {2}^{5} ) \\ = log(9) + log(125) - log(32) \\ = log( \frac{9 \times 125}{32} ) \\ = log( \frac{875}{32} )$

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