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25 December, 12:49

What is 2log5 (5x^3) + (1/3) log5 ((x^2) + 6) written as a single logarithm?

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  1. 25 December, 12:55
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    Assuming 5 is the base. I'm going to leave that out for now.

    2log (5x^3) + (1/3) log (x^2+6)

    power rule

    log (5^2 x^3*2) + log ((x^2 + 6) ^ (1/3))

    log (25x^6) + log ((x^2 + 6) ^ (1/3))

    quotient rule

    log (25x^6 / (x^2 + 6) ^ (1/3))
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