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1 August, 23:04

What is the solution to log Subscript 5 Baseline (x + 30) = 3

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  1. 1 August, 23:07
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    x = 95

    Therefore the solution is 95

    Step-by-step explanation:

    What is the solution to log Subscript 5 Baseline (x + 30) = 3

    log₅ (x+30) = 3

    From our law of logarithm

    5³ = x + 30

    (but 5³ = 5 * 5*5=125)

    125 = x + 30

    Subtract 30 from both-side of the equation to get the value of x

    125 - 30 = x + 30 - 30

    95 = x

    x = 95

    Therefore the solution is 95

    We can check the correctness of our answer

    log₅ (x+30)

    =log₅ (95+30)

    =log₅125

    =log₅5³ (Note: log₅5=1)

    =1*3

    =3
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