college algebra

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I need to expand the expression without exponents. We haven't covered this yet so I am confused on how to do both of them

Log x4y7/4
4

log x^8/√yz^5
4

Thanks, for your help.

  • college algebra -

    log(a^b) = b log(a)
    log(ab) = log(a) + log(b)

    since 1/b = b^-1,
    log(a/b) = log(a) - log(b)

    since √a = a^(1/2),
    log √a = 1/2 log a

    log x^4y^7/4 = 4logx + 7logy - log4

    so you should be able to do the other

    if these problems involve logs base 4, that doesn't matter. The rules of logs are independent of the base.

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