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23 March, 16:45

If log 5 = p and log 2=q then log 200 can be written in terms of p and q as?

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  1. 23 March, 17:01
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    Answer: 2p + 3q

    Work Shown:

    log (200) = log (2^3*5^2)

    log (200) = log (2^3) + log (5^2)

    log (200) = 3*log (2) + 2*log (5)

    log (200) = 3*q + 2*p

    log (200) = 2p + 3q

    The log rules I used were

    log (A*B) = log (A) + log (B)

    log (A^B) = B*log (A)
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