condensing logs with coefficients


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  • What is the rule of logs with coefficients?

    Product Rulelogb mn = logb m + logb nQuotient Rulelogb m/n = logb m - logb nPower Rule of Logarithmlogb mn = n logb mChange of Base Rulelogb a = (log a) / ( log b)

  • Logs of the same base can be added together by multiplying their arguments: log(xy) = log(x) + log(y).
    They can be subtracted by dividing the arguments: log(x/y) = log(x) - log(y).

  • What does it mean when a log has a coefficient?

    When you raise a quantity to a power, the rule is that you multiply the exponents together.
    In this case, one of the exponents will be the log, and the other exponent will be the power you're raising the quantity to.
    The exponent on the argument is the coefficient of the log.

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