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12 March, 03:18

Write 2log35 + log32 as a single logarithm.

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  1. 12 March, 05:39
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    Using the log law a log (z) = log (z^a),

    2 log (35) = log (35^2) = log (1225)

    Using the log law log (a) + log (b) = log (a*b),

    2log35 + log32 = log (1225*32) = log (39200)

    You didn't state what base the logs have, so I assume it's 10. Then the answer in the requested form is log (10) (39200).
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