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15 February, 17:53

Use the laws of logarithms to find the value of X such that log, x = log, 5 + log, 6 - log, 3 and enter the value of X in the box below. (Your answer should be a number.)

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  1. 15 February, 21:33
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    x = 10

    Step-by-step explanation:

    Using the laws of logarithms you can rewrite the equation:

    log, x = log, 5 + log, 6 - log, 3

    log, x = log, (5*6) - log, 3

    log, x = log, 30 - log, 3

    log, x = log, (30 / 3)

    log, x = log, 10

    since you have log on both sides they cancell each other and you get

    x = 10
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