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2 questions about logarithmic equations?

1) log base 3 (x to the fourth power divided by the seventh root of y times z to the sixth power) [the log base 3 is outside the parenthesis]

2) log(x-5) = 8

Thanks in advance for any help.

1 Answer

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  • 1 decade ago
    Favorite Answer

    1)

    log[3] x^4/((y)^1/7)* z^6

    => log[3] x^4 - log3] y^(1/7) - log[3] z^6

    => 4[3] log x - (1/7) log[3] y - 6 log[3] z

    2)

    log(x-5) = 8

    if log is to the base e

    x - 5 = e^8

    x = e^8 + 5 = 2986

    if log is to the base 10

    x -5 = 10^8

    x = 10^8 + 5 =

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