What is ln x+2 ln y-ln z written as a single log

ln(xy²/z)

Three rules of logarithms apply:

... ln(xy) = ln(x) + ln(y)

... ln(x/y) = ln(x) - ln(y)

... ln(x^y) = y·ln(x)

Using these, we find that your sum of logarithms can be written as the log of the product ...

... ln(x) +2ln(y) -ln(z) = ln(x) + ln(y²) - ln(z) = ln(xy²/z)

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step-by-step explanation:

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step-by-step explanation: