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22 September, 12:13

Write the expression as a single logarithm. 3 log 3 q + 6 log 3 v

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Answers (2)
  1. 22 September, 12:17
    0
    The answer is Logb (q^3v^6)
  2. 22 September, 12:37
    0
    Here you will use the product rule and power rule of logarithms, if the bases are the same with operation of addition they can be presented as a product of logs and the power rule, you can place the exponent of the log in front of the log and vise versa.

    Power rule:

    3log3 q + 6 log 3 v

    log3 q^3 + log3 v^6

    Product rule:

    log3 q^3 + log3 v^6

    log3 (q^3v^6)
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