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Use the Laws of Logarithms to expand the expression.?

Use the Laws of Logarithms to expand the expression.

log\(x/root4(1-x)\)

2 Answers

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  • Ben™
    Lv 4
    8 years ago
    Favorite Answer

    Because you have a fraction, you can split it with subtraction.

    logx - log(root4(1-x)

    I am not exactly what you mean by root.. Whether is the 4th root of the sqrt or 4(1-x). So I'll just leave it as root.

    logx -root*log(4(x-1))

    logx - root[log4 + log(x-1)]

  • tubb
    Lv 4
    4 years ago

    3log(base a) - log(y) + 4log(z) (observe that purely z is raised to the skill of four) using the regulations that log x^2 as an occasion = 2log x (the exponent comes "down") and additionally log x/y = log x - log y (branch, subtract logs) and log xy = log x + log y (multiplication of two numbers = upload logs)

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